MASSIMO GROSSI

Full professor

email: massimo.grossi@uniroma1.it
phone:
building: Palazzina A


Massimo Grossi is a Full Professor of Mathematical Analysis at the Faculty of Engineering at Sapienza University. He earned his Ph.D. in Mathematics in 1991 at SISSA in Trieste. He has participated in and coordinated various national and international research projects. He has visited numerous scientific institutions, including TIFR (Bangalore), UAM (Madrid), and the University of Sydney. He has organized over 15 workshops in Italy and abroad. He has supervised five Ph.D. theses. Among his publications are:

M. Grossi, "A class of solutions for the Neumann problem −Δu+λu=u^(N+2)/(N−2)," Duke Math. J., 1995
F. Gladiali, M. Grossi & S. Neves, "Nonradial solutions for the Hénon equation in R^N," Adv. Math., 2013
F. Gladiali & M. Grossi, "On the number of critical points of solutions of semilinear equations in R^2," Amer. J. Math., 2022
F. Gladiali, M. Grossi, P. Luo & S. Yan, "Qualitative analysis on the critical points of the Robin function," J. Eur. Math. Soc.
His research interests include the qualitative properties, existence, and multiplicity of solutions to linear and nonlinear elliptic equations. In recent years, he has focused on the study of level sets and the number of critical points of eigenvalue problems.







Research products

11573/1723483 - 2024 - On the critical points of solutions of PDE in non-convex settings: The case of concentrating solutions
Gladiali, F.; Grossi, M. - 01a Articolo in rivista
paper: JOURNAL OF FUNCTIONAL ANALYSIS (New York: Academic Press.) pp. - - issn: 0022-1236 - wos: (0) - scopus: (0)

11573/1674283 - 2024 - Qualitative analysis on the critical points of the Robin function
Gladiali, F.; Grossi, M.; Luo, P.; Yan, S. - 01a Articolo in rivista
paper: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY (Zürich: EMS Publishing House Heidelberg Germany: Springer Verlag Germany) pp. - - issn: 1435-9855 - wos: (0) - scopus: (0)

11573/1693594 - 2024 - On the critical points of semi-stable solutions on convex domains of Riemannian surfaces
Grossi, Massimo; Provenzano, Luigi - 01a Articolo in rivista
paper: MATHEMATISCHE ANNALEN (Springer Verlag Germany:Tiergartenstrasse 17, D 69121 Heidelberg Germany:011 49 6221 3450, EMAIL: g.braun@springer.de, INTERNET: http://www.springer.de, Fax: 011 49 6221 345229) pp. - - issn: 0025-5831 - wos: WOS:001080642400002 (0) - scopus: 2-s2.0-85173070145 (0)

11573/1686615 - 2023 - On some weighted fourth-order equations
Deng, Shengbing; Grossi, Massimo; Tian, Xingliang - 01a Articolo in rivista
paper: JOURNAL OF DIFFERENTIAL EQUATIONS (Academic Press Incorporated:6277 Sea Harbor Drive:Orlando, FL 32887:(800)543-9534, (407)345-4100, EMAIL: ap@acad.com, INTERNET: http://www.idealibrary.com, Fax: (407)352-3445) pp. 612-634 - issn: 0022-0396 - wos: WOS:000984956000001 (1) - scopus: 2-s2.0-85152274476 (1)

11573/1637495 - 2022 - On the number of critical points of the second eigenfunction of the Laplacian in convex planar domains
De Regibus, F.; Grossi, M. - 01a Articolo in rivista
paper: JOURNAL OF FUNCTIONAL ANALYSIS (New York: Academic Press.) pp. 109496- - issn: 0022-1236 - wos: WOS:000797252700002 (1) - scopus: 2-s2.0-85127493779 (1)

11573/1619913 - 2022 - On the number of critical points of stable solutions in bounded strip-like domains
De Regibus, Fabio; Grossi, Massimo - 01a Articolo in rivista
paper: JOURNAL OF DIFFERENTIAL EQUATIONS (Academic Press Incorporated:6277 Sea Harbor Drive:Orlando, FL 32887:(800)543-9534, (407)345-4100, EMAIL: ap@acad.com, INTERNET: http://www.idealibrary.com, Fax: (407)352-3445) pp. 1-27 - issn: 0022-0396 - wos: WOS:000714680000001 (2) - scopus: 2-s2.0-85117792550 (2)

11573/1637947 - 2022 - On the number of critical points of solutions of semilinear equations in R^2
Gladiali, Francesca; Grossi, Massimo - 01a Articolo in rivista
paper: AMERICAN JOURNAL OF MATHEMATICS (Johns Hopkins University Press:2715 North Charles Street:Baltimore, MD 21218:(800)548-1784, (410)516-6978, EMAIL: jrnlcirc@mail.press.jhu.edu, INTERNET: http://www.press.jhu.edu, Fax: (410)516-6968) pp. - - issn: 0002-9327 - wos: WOS:000876958700004 (2) - scopus: 2-s2.0-85127499644 (3)

11573/1605269 - 2022 - Non-degeneracy and local uniqueness of positive solutions to the Lane-Emden problem in dimension two
Grossi, Massimo; Ianni, Isabella; Luo, Peng; Yan, Shusen - 01a Articolo in rivista
paper: JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES ([Paris] : Elsevier 1998-) pp. 145-210 - issn: 1776-3371 - wos: WOS:000731418800005 (4) - scopus: 2-s2.0-85117220017 (5)

11573/1572626 - 2021 - Uniqueness of the critical point for semi-stable solutions in R2
De Regibus, F.; Grossi, M.; Mukherjee, D. - 01a Articolo in rivista
paper: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (Heidelberg; Berlin: Springer) pp. - - issn: 0944-2669 - wos: WOS:000611978300015 (9) - scopus: 2-s2.0-85100095474 (9)

11573/1572633 - 2020 - ASYMPTOTIC BEHAVIOR of MINIMAL SOLUTIONS of −∆u = λf(u) AS λ → −∞
Battaglia, L.; Gladiali, F.; Grossi, M. - 01a Articolo in rivista
paper: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (Southwest Missouri State University:Department of Mathematics:Springfield, MO 65804:(417)836-5377, EMAIL: shh209f@smsu.edu, INTERNET: http://www.math.smsu.edu, Fax: (417)886-0559) pp. 681-700 - issn: 1078-0947 - wos: WOS:000595798300010 (1) - scopus: 2-s2.0-85097317763 (1)

11573/1423477 - 2020 - Bubbling nodal solutions for a large perturbation of the Moser–Trudinger equation on planar domains
Grossi, M.; Mancini, G.; Naimen, D.; Pistoia, A. - 01a Articolo in rivista
paper: MATHEMATISCHE ANNALEN (Springer Verlag Germany:Tiergartenstrasse 17, D 69121 Heidelberg Germany:011 49 6221 3450, EMAIL: g.braun@springer.de, INTERNET: http://www.springer.de, Fax: 011 49 6221 345229) pp. - - issn: 0025-5831 - wos: WOS:000564396900001 (3) - scopus: 2-s2.0-85081977402 (3)

11573/1356546 - 2020 - Sharp concentration estimates near criticality for radial sign-changing solutions of Dirichlet and Neumann problems
Grossi, M.; Saldana, A.; Tavares, H. - 01a Articolo in rivista
paper: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY (Cambridge University Press / New York:40 West 20th Street:New York, NY 10011:(800)872-7423, (212)924-3900, EMAIL: journals_subscriptions@cup.org, INTERNET: http://www.journals.cambridge.org, Fax: (212)691-3239) pp. 39-64 - issn: 0024-6115 - wos: WOS:000507133400003 (5) - scopus: 2-s2.0-85077213011 (6)

11573/1356551 - 2019 - Non-uniqueness of blowing-up solutions to the Gelfand problem
Battaglia, L.; Grossi, M.; Pistoia, A. - 01a Articolo in rivista
paper: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (Heidelberg; Berlin: Springer) pp. - - issn: 0944-2669 - wos: WOS:000485084800005 (4) - scopus: 2-s2.0-85071971522 (4)

11573/1271828 - 2019 - Morse index and uniqueness of positive solutions of the Lane-Emden problem in planar domains
De Marchis, F.; Grossi, M.; Ianni, I.; Pacella, F. - 01a Articolo in rivista
paper: JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES (-PARIS, FRANCE: EDITIONS ELSEVIER -Paris FRANCE: Bachelier 1836- -PARIS FRANCE: GAUTHIER-VILLARS) pp. - - issn: 0021-7824 - wos: WOS:000480511900013 (16) - scopus: 2-s2.0-85062346362 (16)

11573/1356555 - 2019 - A non-variational system involving the critical Sobolev exponent. The radial case
Gladiali, F.; Grossi, M.; Troestler, C. - 01a Articolo in rivista
paper: JOURNAL D'ANALYSE MATHEMATIQUE (Jerusalem, Israel: Magnes Press:The Hebrew University, http://www.huji.ac.il/unew/magnes.html,) pp. 643-671 - issn: 0021-7670 - wos: WOS:000490560200006 (5) - scopus: 2-s2.0-85069694359 (9)

11573/1357757 - 2019 - A Morse Lemma for Degenerate Critical Points of Solutions of Nonlinear Equations in R 2
Grossi, M. - 01a Articolo in rivista
paper: ADVANCED NONLINEAR STUDIES (ADVANCED NONLINEAR STUDIES, INC, PO BOX 691204, SAN ANTONIO, USA, TX, 78269) pp. 1-18 - issn: 1536-1365 - wos: WOS:000508442200001 (1) - scopus: 2-s2.0-85075308494 (1)

11573/1271826 - 2019 - Blow-up analysis for nodal radial solutions in Moser-Trudinger critical equations in $R^2$
Grossi, Massimo; Naimen, Daisuke - 01a Articolo in rivista
paper: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE (Pisa: Scuola Normale Superiore) pp. 1- - issn: 2036-2145 - wos: WOS:000572385300012 (0) - scopus: (0)

11573/1196537 - 2018 - Nodal solutions for Lane-Emden problems in almost-annular domains
Amadori, Anna Lisa; Gladiali, Francesca; Grossi, Massimo - 01a Articolo in rivista
paper: DIFFERENTIAL AND INTEGRAL EQUATIONS (Athens, Ohio : Differential and Integral Equations : Printed for Differential and Integral Equations by American Mathematical Society, c1988-) pp. 257-272 - issn: 0893-4983 - wos: WOS:000418104300006 (6) - scopus: 2-s2.0-85042370837 (7)

11573/1112035 - 2018 - L∞-norm and energy quantization for the planar Lane–Emden problem with large exponent
De Marchis, F.; Grossi, M.; Ianni, I.; Pacella, F. - 01a Articolo in rivista
paper: ARCHIV DER MATHEMATIK (- Cham (ZG): Office of Publ. Springer International Publishing AG - Karlsruhe: Braun) pp. 1-9 - issn: 0003-889X - wos: WOS:000444724700009 (10) - scopus: 2-s2.0-85046793372 (12)

11573/1091977 - 2018 - Entire radial and nonradial solutions for systems with critical growth
Gladiali, Francesca; Grossi, Massimo; Troestler, Christophe - 01a Articolo in rivista
paper: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (Heidelberg; Berlin: Springer) pp. -10.1007/s00526-018-1340-z - issn: 0944-2669 - wos: WOS:000431004800039 (8) - scopus: 2-s2.0-85043457798 (9)

11573/1207124 - 2018 - Regularity and asymptotic approach to semilinear elliptic equations with singular potential
Grossi, Massimo; Stehlick, Alexandre - 01a Articolo in rivista
paper: INDIANA UNIVERSITY MATHEMATICS JOURNAL (Bloomington Ind.: Dept. of Mathematics Indiana University, ©1970-) pp. 2313-2335 - issn: 0022-2518 - wos: WOS:000453244000008 (0) - scopus: 2-s2.0-85064248141 (0)

11573/1091978 - 2017 - Nonradial entire solutions for Liouville systems
Battaglia, Luca; Gladiali, Francesca; Grossi, Massimo - 01a Articolo in rivista
paper: JOURNAL OF DIFFERENTIAL EQUATIONS (Academic Press Incorporated:6277 Sea Harbor Drive:Orlando, FL 32887:(800)543-9534, (407)345-4100, EMAIL: ap@acad.com, INTERNET: http://www.idealibrary.com, Fax: (407)352-3445) pp. 5151-5174 - issn: 0022-0396 - wos: WOS:000407665900023 (3) - scopus: 2-s2.0-85021637438 (2)

11573/1698232 - 2017 - On the Hardy-Sobolev equation
Dancer, En; Gladiali, F; Grossi, M - 01a Articolo in rivista
paper: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS (Royal Society of Edinburgh:22 24 George Street, Edinburgh EH2 2PQ United Kingdom:011 44 131 2256057, INTERNET: http://www.ma.hw.ac.uk/RSE, Fax: 011 44 131 2206889) pp. 299-336 - issn: 0308-2105 - wos: WOS:000398087300005 (16) - scopus: 2-s2.0-85009792109 (18)

11573/867836 - 2016 - Multi-layer radial solutions for a supercritical Neumann problem
Bonheure, Denis; Grossi, Massimo; Noris, Benedetta; Terracini, Susanna - 01a Articolo in rivista
paper: JOURNAL OF DIFFERENTIAL EQUATIONS (Academic Press Incorporated:6277 Sea Harbor Drive:Orlando, FL 32887:(800)543-9534, (407)345-4100, EMAIL: ap@acad.com, INTERNET: http://www.idealibrary.com, Fax: (407)352-3445) pp. 455-504 - issn: 0022-0396 - wos: WOS:000375339000016 (21) - scopus: 2-s2.0-84962082105 (21)

11573/924113 - 2016 - Symmetry breaking and Morse index of solutions of nonlinear elliptic problems in the plane
Gladiali, Francesca; Grossi, Massimo; Neves, Sérgio L. N. - 01a Articolo in rivista
paper: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS (World Scientific Publishing Company:PO Box 128, Farrer Road, Singapore 912805 Singapore:011 65 6 4665775, EMAIL: journal@wspc.com.sg, INTERNET: http://www.wspc.com.sg, http://www.worldscinet.com, Fax: 011 65 6 4677667) pp. 1550087- - issn: 0219-1997 - wos: WOS:000381203800011 (14) - scopus: 2-s2.0-84949491888 (19)

11573/867621 - 2016 - On the number of peaks of the eigenfunctions of the linearized Gel’fand problem
Gladiali, Francesca; Grossi, Massimo; Ohtsuka, Hiroshi - 01a Articolo in rivista
paper: ANNALI DI MATEMATICA PURA ED APPLICATA (-Heidelberg : Springer-Verlag -Bologna : Zanichelli Nicola) pp. 79-93 - issn: 0373-3114 - wos: WOS:000368998800005 (3) - scopus: 2-s2.0-84956645693 (4)

11573/924123 - 2016 - On the Green Function of the Annulus
Grossi, Massimo; Vujadinovic, D. - 01a Articolo in rivista
paper: ANALYSIS IN THEORY AND APPLICATIONS (-Nanjing: Editorial Board of Analysis in Theory and Applications.) pp. 90-102 - issn: 1672-4070 - wos: (0) - scopus: (0)

11573/923829 - 2015 - Bubbling solutions to an anisotropic Hénon equation
Faya, Jorge; Grossi, Massimo; Pistoia, Angela - 02a Capitolo o Articolo
book: Contributions to Nonlinear Elliptic Equations and Systems - (978-3-319-19901-6; 978-3-319-19902-3; 978-3-319-19901-6; 978-3-319-19902-3)

11573/867622 - 2015 - Linear perturbations for the critical Hénon problem
Gladiali, Francesca; Grossi, Massimo - 01a Articolo in rivista
paper: DIFFERENTIAL AND INTEGRAL EQUATIONS (Athens, Ohio : Differential and Integral Equations : Printed for Differential and Integral Equations by American Mathematical Society, c1988-) pp. 733-752 - issn: 0893-4983 - wos: WOS:000355776800005 (12) - scopus: (0)

11573/788358 - 2015 - On a general SU(3) Toda system
Gladiali, Francesca; Grossi, Massimo; Wei, Juncheng - 01a Articolo in rivista
paper: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (Heidelberg; Berlin: Springer) pp. - - issn: 0944-2669 - wos: WOS:000365412700001 (6) - scopus: 2-s2.0-84947863513 (7)

11573/553499 - 2014 - Morse indices of multiple blow-up solutions to the two-dimensional Gel'fand problem
F., Gladiali; Grossi, Massimo; H., Ohtsuka; T., Suzuki: - 01a Articolo in rivista
paper: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (-PHILADELPHIA, USA: TAYLOR & FRANCIS INC -New York, Marcel Dekker) pp. - - issn: 0360-5302 - wos: WOS:000341509100003 (8) - scopus: 2-s2.0-84906667751 (12)

11573/555164 - 2014 - On the location of two blowup points on an annulus for the mean field equation
Grossi, Massimo; Futoshi, Takahashi - 01a Articolo in rivista
paper: COMPTES RENDUS MATHÉMATIQUE (Paris : Elsevier 2002-) pp. 615-619 - issn: 1631-073X - wos: WOS:000340348700015 (3) - scopus: 2-s2.0-84905019744 (3)

11573/573377 - 2014 - Lane Emden problems with large exponents and singular Liouville equations
Grossi, Massimo; Grumiau, Christopher; Pacella, Filomena - 01a Articolo in rivista
paper: JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES (-PARIS, FRANCE: EDITIONS ELSEVIER -Paris FRANCE: Bachelier 1836- -PARIS FRANCE: GAUTHIER-VILLARS) pp. 735-754 - issn: 0021-7824 - wos: WOS:000337869400001 (21) - scopus: 2-s2.0-84900009309 (21)

11573/525023 - 2013 - Nonradial solutions for the Hénon equation in
Francesca, Gladiali; Grossi, Massimo; Sergio L. N., Neves - 01a Articolo in rivista
paper: ADVANCES IN MATHEMATICS (-SAN DIEGO, USA: ACADEMIC PRESS INC ELSEVIER SCIENCES -Brugge, Belgium [etc.] Academic Press, 1965-) pp. 1-36 - issn: 0001-8708 - wos: WOS:000326256500001 (61) - scopus: 2-s2.0-84884720195 (62)

11573/486737 - 2013 - Lane-Emden problems: Asymptotic behavior of low energy nodal solutions
Grossi, Massimo; Grumiau, Christopher; Pacella, Filomena - 01a Articolo in rivista
paper: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE (Attuale: Paris: Elsevier 1998- Gauthier-Villars:15 rue Gossin, 92543 Montrouge Cedex France:011 33 1 40 926500, Fax: 011 33 1 40 926597) pp. 121-140 - issn: 0294-1449 - wos: WOS:000315180500006 (14) - scopus: 2-s2.0-84872974006 (14)

11573/513760 - 2013 - Multiple Blow-Up Phenomena for the Sinh-Poisson Equation
Grossi, Massimo; Pistoia, Angela - 01a Articolo in rivista
paper: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (Berlin; Heidelberg; New York; London; Paris; Tokyo; Hong Kong; Barcelona; Budapest: Springer) pp. 287-320 - issn: 0003-9527 - wos: WOS:000319020000009 (32) - scopus: 2-s2.0-84877834271 (32)

11573/637653 - 2013 - Exact multiplicity results for a singularly perturbed Neumann problem
Grossi, Massimo; Sergio L. N., Neves - 01a Articolo in rivista
paper: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (Heidelberg; Berlin: Springer) pp. 713-737 - issn: 0944-2669 - wos: WOS:000325687900019 (2) - scopus: 2-s2.0-84885642628 (2)

11573/486739 - 2012 - Supercritical elliptic problem with nonautonomous nonlinearities
Francesca, Gladiali; Grossi, Massimo - 01a Articolo in rivista
paper: JOURNAL OF DIFFERENTIAL EQUATIONS (Academic Press Incorporated:6277 Sea Harbor Drive:Orlando, FL 32887:(800)543-9534, (407)345-4100, EMAIL: ap@acad.com, INTERNET: http://www.idealibrary.com, Fax: (407)352-3445) pp. 2616-2645 - issn: 0022-0396 - wos: WOS:000308257900003 (43) - scopus: 2-s2.0-84865833084 (44)

11573/354720 - 2012 - Positive constrained minimizers for supercritical problems in the ball
Grossi, Massimo; Benedetta, Noris - 01a Articolo in rivista
paper: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (American Mathematical Society:PO Box 6248:Providence, RI 02940:(800)321-4267, (401)455-4000, EMAIL: cust-serv@ams.org, gma@math.ams.org, INTERNET: http://www.ams.org, Fax: (401)331-3842) pp. 2141-2154 - issn: 0002-9939 - wos: WOS:000303970700027 (24) - scopus: 2-s2.0-84857255941 (24)

11573/229898 - 2012 - Multiple solutions to the Bahri-Coron problem in domains with a shrinking hole of positive dimension
Monica, Clapp; Grossi, Massimo; Pistoia, Angela - 01a Articolo in rivista
paper: COMPLEX VARIABLES AND ELLIPTIC EQUATIONS (Abingdon : Taylor & Francis, 2006-) pp. 1147-1162 - issn: 1747-6933 - wos: WOS:000310132900001 (5) - scopus: 2-s2.0-84867567849 (5)

11573/482941 - 2012 - Asymptotically radial solutions in expanding annular domains
Thomas, Bartsch; Monica, Clapp; Grossi, Massimo; Pacella, Filomena - 01a Articolo in rivista
paper: MATHEMATISCHE ANNALEN (Springer Verlag Germany:Tiergartenstrasse 17, D 69121 Heidelberg Germany:011 49 6221 3450, EMAIL: g.braun@springer.de, INTERNET: http://www.springer.de, Fax: 011 49 6221 345229) pp. 485-515 - issn: 0025-5831 - wos: WOS:000299086400008 (34) - scopus: 2-s2.0-84855708541 (35)

11573/76398 - 2011 - EXISTENCE AND MULTIPLICITY RESULTS FOR EQUATIONS WITH NEARLY CRITICAL GROWTH
Grossi, Massimo; F., Gladiali - 01a Articolo in rivista
paper: ADVANCES IN DIFFERENTIAL EQUATIONS (Athens, Ohio, USA: Khayyam Publishing Company Incorporated) pp. 801-837 - issn: 1079-9389 - wos: WOS:000294089800001 (0) - scopus: 2-s2.0-84893862231 (0)

11573/354721 - 2011 - Asymptotic non-degeneracy of the multiple blow-up solutions to the Gel'fand problem in two space dimensions
Grossi, Massimo; H., Ohtsuka; T., Suzuki - 01a Articolo in rivista
paper: ADVANCES IN DIFFERENTIAL EQUATIONS (Athens, Ohio, USA: Khayyam Publishing Company Incorporated) pp. 145-164 - issn: 1079-9389 - wos: WOS:000299910300006 (15) - scopus: 2-s2.0-84868208912 (13)

11573/76405 - 2010 - Nonexistence of multi-bubble solutions to some elliptic equations on convex domains
Grossi, Massimo; Futoshi, Takahashi - 01a Articolo in rivista
paper: JOURNAL OF FUNCTIONAL ANALYSIS (New York: Academic Press.) pp. 904-917 - issn: 0022-1236 - wos: WOS:000278404600005 (44) - scopus: 2-s2.0-77952955238 (45)

11573/76397 - 2009 - On the shape of solutions of an asymptotically linear problem
Grossi, Massimo - 01a Articolo in rivista
paper: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE (editori indicati: Stampacchia Guido, Pisa. Scuola Normale Superiore:Piazza dei Cavalieri 7, I 56126 Pisa Italy:011 39 050 509111, Fax: 011 39 050 563513) pp. 429-449 - issn: 0391-173X - wos: WOS:000271079000002 (8) - scopus: 2-s2.0-75749106245 (8)

11573/361301 - 2009 - On the spectrum of a nonlinear planar problem
Grossi, Massimo; Gladiali, Francesca Maria - 01a Articolo in rivista
paper: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE (Attuale: Paris: Elsevier 1998- Gauthier-Villars:15 rue Gossin, 92543 Montrouge Cedex France:011 33 1 40 926500, Fax: 011 33 1 40 926597) pp. 191-222 - issn: 0294-1449 - wos: WOS:000263193200010 (20) - scopus: 2-s2.0-58249088753 (19)

11573/75748 - 2008 - Radial solutions for the Brezis-Nirenberg problem involving large nonlinearities
Grossi, Massimo - 01a Articolo in rivista
paper: JOURNAL OF FUNCTIONAL ANALYSIS (New York: Academic Press.) pp. 2995-3036 - issn: 0022-1236 - wos: WOS:000256491300003 (14) - scopus: 2-s2.0-43049138759 (14)

11573/75811 - 2008 - Nodal solutions for an elliptic problem involving large nonlinearities
Grossi, Massimo - 01a Articolo in rivista
paper: JOURNAL OF DIFFERENTIAL EQUATIONS (Academic Press Incorporated:6277 Sea Harbor Drive:Orlando, FL 32887:(800)543-9534, (407)345-4100, EMAIL: ap@acad.com, INTERNET: http://www.idealibrary.com, Fax: (407)352-3445) pp. 2917-2938 - issn: 0022-0396 - wos: WOS:000260441500009 (0) - scopus: 2-s2.0-52049095722 (0)

11573/76630 - 2008 - Existence of radial solutions for an elliptic problem involving exponential nonlinearities
Grossi, Massimo - 01a Articolo in rivista
paper: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (Southwest Missouri State University:Department of Mathematics:Springfield, MO 65804:(417)836-5377, EMAIL: shh209f@smsu.edu, INTERNET: http://www.math.smsu.edu, Fax: (417)886-0559) pp. 221-232 - issn: 1078-0947 - wos: WOS:000254122300010 (3) - scopus: 2-s2.0-44449107173 (2)

11573/361537 - 2007 - Singular limit of radial solutions in an annulus
Grossi, Massimo; Gladiali, Francesca Maria - 01a Articolo in rivista
paper: ASYMPTOTIC ANALYSIS (Amsterdam: North-Holland) pp. 73-83 - issn: 0921-7134 - wos: WOS:000251720300004 (6) - scopus: 2-s2.0-36248999378 (6)

11573/75745 - 2007 - Morse index for solutions of the nonlinear Schrödinger equation in a degenerate setting
Grossi, Massimo; Servadei, R. - 01a Articolo in rivista
paper: ANNALI DI MATEMATICA PURA ED APPLICATA (-Heidelberg : Springer-Verlag -Bologna : Zanichelli Nicola) pp. 433-453 - issn: 0373-3114 - wos: WOS:000246010200003 (8) - scopus: 2-s2.0-34247548760 (8)

11573/76396 - 2006 - Optimal Hardy-Rellich inequalities, maximum principle and related eigenvalue problem
Adimurthi, ; Grossi, Massimo; S., Sanjiban - 01a Articolo in rivista
paper: JOURNAL OF FUNCTIONAL ANALYSIS (New York: Academic Press.) pp. 36-83 - issn: 0022-1236 - wos: WOS:000241317300002 (38) - scopus: 2-s2.0-33748523840 (39)

11573/76395 - 2006 - Asymptotic Behavior of Least Energy Solutions of a Biharmonic Equation in Dimension Four
Ben Ayed, M; El Mehdi, K; Grossi, Massimo - 01a Articolo in rivista
paper: INDIANA UNIVERSITY MATHEMATICS JOURNAL (Bloomington Ind.: Dept. of Mathematics Indiana University, ©1970-) pp. 1723-1749 - issn: 0022-2518 - wos: WOS:000242108500008 (9) - scopus: 2-s2.0-33845526014 (8)

11573/76394 - 2006 - Asymptotic behaviour of the Kazdan-Warner solution in the annulus
Grossi, Massimo - 01a Articolo in rivista
paper: JOURNAL OF DIFFERENTIAL EQUATIONS (Academic Press Incorporated:6277 Sea Harbor Drive:Orlando, FL 32887:(800)543-9534, (407)345-4100, EMAIL: ap@acad.com, INTERNET: http://www.idealibrary.com, Fax: (407)352-3445) pp. 96-111 - issn: 0022-0396 - wos: WOS:000236416900004 (22) - scopus: 2-s2.0-33644772097 (25)

11573/75521 - 2005 - A nondegeneracy result for a nonlinear elliptic equation
Grossi, Massimo - 01a Articolo in rivista
paper: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS (Birkhaeuser Verlag AG:Viaduktstrasse 42-44, CH 4051 Basel Switzerland:011 41 61 2050707, EMAIL: subscriptions@birkhauser.ch, INTERNET: http://www.birkhauser.ch, Fax: 011 41 61 2050792) pp. 227-241 - issn: 1021-9722 - wos: WOS:000231779800005 (13) - scopus: 2-s2.0-25644433488 (13)

11573/233794 - 2005 - On an eigenvalue problem related to the critical exponent
Grossi, Massimo; Pacella, Filomena - 01a Articolo in rivista
paper: MATHEMATISCHE ZEITSCHRIFT (Springer Verlag Germany:Tiergartenstrasse 17, D 69121 Heidelberg Germany:011 49 6221 3450, EMAIL: g.braun@springer.de, INTERNET: http://www.springer.de, Fax: 011 49 6221 345229) pp. 225-256 - issn: 0025-5874 - wos: WOS:000228233300012 (14) - scopus: 2-s2.0-17444364802 (15)

11573/235837 - 2005 - On the existence of blowing-up solutions for a mean field equation
Grossi, Massimo; Pierpaolo, Esposito; Pistoia, Angela - 01a Articolo in rivista
paper: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE (Attuale: Paris: Elsevier 1998- Gauthier-Villars:15 rue Gossin, 92543 Montrouge Cedex France:011 33 1 40 926500, Fax: 011 33 1 40 926597) pp. 227-257 - issn: 0294-1449 - wos: WOS:000227722200006 (170) - scopus: 2-s2.0-13844308242 (171)

11573/241135 - 2005 - Locating the peak of ground states of nonlinear Schrodinger equations
Grossi, Massimo; Pistoia, Angela - 01a Articolo in rivista
paper: HOUSTON JOURNAL OF MATHEMATICS (University of Houston:Department of Mathematics:Houston, TX 77204:(713)743-3462, (713)743-3467, EMAIL: hjm@uh.edu, INTERNET: http://www.math.uh.edu/~hjm, Fax: (713)743-3505) pp. 621-635 - issn: 0362-1588 - wos: WOS:000228916700017 (6) - scopus: 2-s2.0-23244432334 (6)

11573/76331 - 2005 - Local solutions for elliptic problems with exponential nonlinearities via finite dimensional reduction
Grossi, Massimo; Prashanth, S. - 01a Articolo in rivista
paper: INDIANA UNIVERSITY MATHEMATICS JOURNAL (Bloomington Ind.: Dept. of Mathematics Indiana University, ©1970-) pp. 383-415 - issn: 0022-2518 - wos: WOS:000229192400004 (5) - scopus: 2-s2.0-20144367482 (5)

11573/341764 - 2004 - Strict convexity of level sets of solutions of some nonlinear elliptic equations
Gladiali, Francesca Maria; Grossi, Massimo - 01a Articolo in rivista
paper: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS (Royal Society of Edinburgh:22 24 George Street, Edinburgh EH2 2PQ United Kingdom:011 44 131 2256057, INTERNET: http://www.ma.hw.ac.uk/RSE, Fax: 011 44 131 2206889) pp. 363-373 - issn: 0308-2105 - wos: WOS:000221799800008 (10) - scopus: 2-s2.0-2642514222 (11)

11573/361308 - 2004 - Some results for the Gelfand's problem
Grossi, Massimo - 01a Articolo in rivista
paper: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (-PHILADELPHIA, USA: TAYLOR & FRANCIS INC -New York, Marcel Dekker) pp. 1335-1364 - issn: 0360-5302 - wos: WOS:000225610700003 (26) - scopus: 2-s2.0-10844236515 (28)

11573/76329 - 2004 - Asymptotic estimates for a two dimensional problem with polynomial nonlinearities
Grossi, Massimo; Adimurthi, - 01a Articolo in rivista
paper: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (American Mathematical Society:PO Box 6248:Providence, RI 02940:(800)321-4267, (401)455-4000, EMAIL: cust-serv@ams.org, gma@math.ams.org, INTERNET: http://www.ams.org, Fax: (401)331-3842) pp. 1013-1019 - issn: 0002-9939 - wos: (0) - scopus: 2-s2.0-1642284410 (60)

11573/76334 - 2004 - Asymptotic estimates and qualitative properties of an elliptic problem in dimension two
Grossi, Massimo; El Mehdi, K. - 01a Articolo in rivista
paper: ADVANCED NONLINEAR STUDIES (ADVANCED NONLINEAR STUDIES, INC, PO BOX 691204, SAN ANTONIO, USA, TX, 78269) pp. 15-36 - issn: 1536-1365 - wos: WOS:000189148200002 (32) - scopus: 2-s2.0-3042844222 (32)

11573/76327 - 2003 - Single peaked Solutions to a Supercritical Nonlinear Problem
Grossi, Massimo; Ben Ayed, M.; El Mehdi, K.; Rey, O. - 01a Articolo in rivista
paper: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS (World Scientific Publishing Company:PO Box 128, Farrer Road, Singapore 912805 Singapore:011 65 6 4665775, EMAIL: journal@wspc.com.sg, INTERNET: http://www.wspc.com.sg, http://www.worldscinet.com, Fax: 011 65 6 4677667) pp. 1-17 - issn: 0219-1997 - wos: WOS:000182453000003 (39) - scopus: 2-s2.0-0037294472 (6)

11573/76328 - 2003 - A Uniqueness Result for a Neumann Problem Involving the Critical Sobolev Exponent
Grossi, Massimo; Lin, C. S.; Prashanth, S. - 01a Articolo in rivista
paper: MATHEMATISCHE ANNALEN (Springer Verlag Germany:Tiergartenstrasse 17, D 69121 Heidelberg Germany:011 49 6221 3450, EMAIL: g.braun@springer.de, INTERNET: http://www.springer.de, Fax: 011 49 6221 345229) pp. 643-664 - issn: 0025-5831 - wos: WOS:000182785800002 (1) - scopus: 2-s2.0-0038610706 (1)

11573/76099 - 2003 - On the shape of the solutions for some semilinear elliptic problems
Grossi, Massimo; Molle, R. - 01a Articolo in rivista
paper: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS (World Scientific Publishing Company:PO Box 128, Farrer Road, Singapore 912805 Singapore:011 65 6 4665775, EMAIL: journal@wspc.com.sg, INTERNET: http://www.wspc.com.sg, http://www.worldscinet.com, Fax: 011 65 6 4677667) pp. 85-99 - issn: 0219-1997 - wos: (0) - scopus: 2-s2.0-0037294473 (23)

11573/254289 - 2003 - Symmetry results for perturbed problems and reletad questions
Grossi, Massimo; Pacella, Filomena; Yadava, S. L. - 01a Articolo in rivista
paper: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS (Redakcja Tmna:Centrum Juliusza, Schaudera Ul, Chopina 12 18, 87 100 Torun Poland:011 4856 26017, EMAIL: tmna@mat.uni.torun.pl, INTERNET: http://www.mat.uni.torun.pl/~tmna, Fax: 011 4856 28979) pp. 211-226 - issn: 1230-3429 - wos: (0) - scopus: (0)

11573/76088 - 2002 - On the number of single-peak solutions for the nonlinear Schr\"odinger equation
Grossi, Massimo - 01a Articolo in rivista
paper: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE (Attuale: Paris: Elsevier 1998- Gauthier-Villars:15 rue Gossin, 92543 Montrouge Cedex France:011 33 1 40 926500, Fax: 011 33 1 40 926597) pp. 261-280 - issn: 0294-1449 - wos: (0) - scopus: 2-s2.0-0345135057 (88)

11573/76326 - 2002 - On the nondegeneracy of the critical points of the Robin function in symmetric domains
Grossi, Massimo - 01a Articolo in rivista
paper: COMPTES RENDUS MATHÉMATIQUE (Paris : Elsevier 2002-) pp. 157-160 - issn: 1631-073X - wos: WOS:000180973700010 (13) - scopus: 2-s2.0-0038391417 (15)

11573/76090 - 2001 - Local estimates for a semilinear elliptic equation with Sobolev critical exponent and applications to a uniqueness result
Cerqueti, ; Grossi, Massimo - 01a Articolo in rivista
paper: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS (Birkhaeuser Verlag AG:Viaduktstrasse 42-44, CH 4051 Basel Switzerland:011 41 61 2050707, EMAIL: subscriptions@birkhauser.ch, INTERNET: http://www.birkhauser.ch, Fax: 011 41 61 2050792) pp. 251-283 - issn: 1021-9722 - wos: WOS:000170480900002 (10) - scopus: 2-s2.0-0345776966 (8)

11573/76631 - 2001 - Uniqueness results in nonlinear elliptic problems. IMS Workshop on Reaction-Diffusion Systems (Shatin, 1999)
Grossi, Massimo - 01a Articolo in rivista
paper: METHODS AND APPLICATIONS OF ANALYSIS (Cambridge, MA, USA : International Press, c1994-) pp. 227-244 - issn: 1073-2772 - wos: (0) - scopus: (0)

11573/76087 - 2001 - Linking type solutions for elliptic equations with indefinite nonlinearities up to the critical growth
Grossi, Massimo; Magrone, Matzeu - 01a Articolo in rivista
paper: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (Southwest Missouri State University:Department of Mathematics:Springfield, MO 65804:(417)836-5377, EMAIL: shh209f@smsu.edu, INTERNET: http://www.math.smsu.edu, Fax: (417)886-0559) pp. 703-718 - issn: 1078-0947 - wos: WOS:000170857700003 (14) - scopus: 2-s2.0-0035610445 (14)

11573/76091 - 2000 - Some results on a calss of nonlinear Schrödinger equations
Grossi, Massimo - 01a Articolo in rivista
paper: MATHEMATISCHE ZEITSCHRIFT (Springer Verlag Germany:Tiergartenstrasse 17, D 69121 Heidelberg Germany:011 49 6221 3450, EMAIL: g.braun@springer.de, INTERNET: http://www.springer.de, Fax: 011 49 6221 345229) pp. 687-705 - issn: 0025-5874 - wos: (0) - scopus: 2-s2.0-0034356993 (45)

11573/76092 - 2000 - A uniqueness result for a semilinear elliptic equation in symmetric domains"
Grossi, Massimo - 01a Articolo in rivista
paper: ADVANCES IN DIFFERENTIAL EQUATIONS (Athens, Ohio, USA: Khayyam Publishing Company Incorporated) pp. 193-212 - issn: 1079-9389 - wos: WOS:000172042500011 (0) - scopus: 2-s2.0-0000280076 (37)

11573/76095 - 2000 - Uniqueness of the least-energy solution for a semilinear Neumann problem
Grossi, Massimo - 01a Articolo in rivista
paper: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (American Mathematical Society:PO Box 6248:Providence, RI 02940:(800)321-4267, (401)455-4000, EMAIL: cust-serv@ams.org, gma@math.ams.org, INTERNET: http://www.ams.org, Fax: (401)331-3842) pp. 1665-1772 - issn: 0002-9939 - wos: WOS:000086363600012 (10) - scopus: 2-s2.0-23044519372 (11)

11573/76632 - 2000 - Existence and multiplicity results for the nonlinear Schrödinger equations
Grossi, Massimo - 01a Articolo in rivista
paper: NONLINEAR ANALYSIS (Oxford, United Kingdom: Elsevier Science Limited) pp. 6009-6017 - issn: 0362-546X - wos: (0) - scopus: 2-s2.0-0035415296 (0)

11573/256101 - 2000 - On the effect of critical points of the distance function in superlinear elliptic problems
Grossi, Massimo; Pistoia, Angela - 01a Articolo in rivista
paper: ADVANCES IN DIFFERENTIAL EQUATIONS (Athens, Ohio, USA: Khayyam Publishing Company Incorporated) pp. 1397-1420 - issn: 1079-9389 - wos: (0) - scopus: 2-s2.0-0346776043 (32)

11573/254584 - 2000 - Existence of multipeak solutions for a semilinear Neumann problem via nonsmooth critical point theory
Pistoia, Angela; Grossi, Massimo; Wei, J. - 01a Articolo in rivista
paper: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (Heidelberg; Berlin: Springer) pp. 143-175 - issn: 0944-2669 - wos: WOS:000089926400002 (86) - scopus: 2-s2.0-0003226251 (87)

11573/243571 - 1999 - Qualitative properties of positive solutions of elliptic equations in symmetric domains via the maximum principle
Damascelli, ; Grossi, Massimo; Pacella, Filomena - 01a Articolo in rivista
paper: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE (Attuale: Paris: Elsevier 1998- Gauthier-Villars:15 rue Gossin, 92543 Montrouge Cedex France:011 33 1 40 926500, Fax: 011 33 1 40 926597) pp. 631-652 - issn: 0294-1449 - wos: WOS:000082204400004 (91) - scopus: 2-s2.0-0005437692 (98)

11573/245778 - 1998 - Symmetry of positive solutions of some nonlinear equations
Grossi, Massimo; Pacella, Filomena; Ramaswami, - 01a Articolo in rivista
paper: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS (Redakcja Tmna:Centrum Juliusza, Schaudera Ul, Chopina 12 18, 87 100 Torun Poland:011 4856 26017, EMAIL: tmna@mat.uni.torun.pl, INTERNET: http://www.mat.uni.torun.pl/~tmna, Fax: 011 4856 28979) pp. 47-59 - issn: 1230-3429 - wos: (0) - scopus: (0)

11573/76097 - 1997 - A perturbation theorem for the equation -Du+lu=up in unbounded domains
Dall'aglio, Andrea; Grossi, M. - 01a Articolo in rivista
paper: NONLINEAR ANALYSIS (Oxford, United Kingdom: Elsevier Science Limited) pp. 1867-1877 - issn: 0362-546X - wos: WOS:A1997WK65500009 (5) - scopus: 2-s2.0-0031168754 (5)

11573/204119 - 1995 - Existence and multiplicity results of an elliptic equation in unbounded domains
Grossi, Massimo - 04a Atto di comunicazione a congresso
conference: Variational methods in nonlinear analysis (erice)
book: Variational methods in nonlinear analysis - ()

11573/75962 - 1995 - A class of solutions for the Neumann problem $-Delta u+lambda u=u^{(N+2)/(N-2)}$
Grossi, Massimo - 01a Articolo in rivista
paper: DUKE MATHEMATICAL JOURNAL (Duke University Press:PO Box 90660:Durham, NC 27708:(888)387-5765, (919)687-3617, EMAIL: subscriptions@dukepress.edu, INTERNET: http://www.dukeupress.edu, Fax: (919)688-3524) pp. 309-334 - issn: 0012-7094 - wos: WOS:A1995RP63000002 (24) - scopus: 2-s2.0-84974002244 (26)

11573/75963 - 1995 - An existence result for a semilinear equation in some domains with unbounded boundary
Grossi, Massimo - 01a Articolo in rivista
paper: ANNALI DI MATEMATICA PURA ED APPLICATA (-Heidelberg : Springer-Verlag -Bologna : Zanichelli Nicola) pp. 17-35 - issn: 0373-3114 - wos: WOS:A1995UM27400002 (2) - scopus: 2-s2.0-0041646375 (2)

11573/75961 - 1995 - Nonlinear elliptic Dirichlet problems in exterior domains: the role of geometry and topology of the domain
Grossi, Massimo; Passaseo, D. - 01a Articolo in rivista
paper: COMMUNICATIONS ON APPLIED NONLINEAR ANALYSIS (-Orlando, FL: International Publications. -International Publications:5066 Jamieson Drive, Suite B-9:Toledo, OH 43613:EMAIL: verma99@msn.com, INTERNET: http://rgmia.vu.edu.au/SSDragomirWeb.html, Fax: (419)292-1497) pp. 1-31 - issn: 1074-133X - wos: (0) - scopus: (0)

11573/76402 - 1993 - Multiplicity results for semilinear elliptic equations with lack of compactness. Differential Integral Equations
Grossi, Massimo - 01a Articolo in rivista
paper: DIFFERENTIAL AND INTEGRAL EQUATIONS (Athens, Ohio : Differential and Integral Equations : Printed for Differential and Integral Equations by American Mathematical Society, c1988-) pp. 807-823 - issn: 0893-4983 - wos: (0) - scopus: 2-s2.0-84972526988 (4)

11573/245779 - 1992 - A nonexistence theorem for an equation with critical Sobolev exponent in the half space
Berestycki, H.; Grossi, Massimo; Pacella, Filomena - 01a Articolo in rivista
paper: MANUSCRIPTA MATHEMATICA (Heidelberg Germany: Springer Verlag Germany:Tiergartenstrasse) pp. 265-281 - issn: 0025-2611 - wos: WOS:A1992JX52600009 (6) - scopus: 2-s2.0-51249168244 (6)

11573/76400 - 1991 - Existence and multiplicity results in the presence of symmetry for elliptic equations with critical Sobolev exponent
Grossi, Massimo - 01a Articolo in rivista
paper: NONLINEAR ANALYSIS (Oxford, United Kingdom: Elsevier Science Limited) pp. 973-989 - issn: 0362-546X - wos: WOS:A1991GT34400005 (4) - scopus: 2-s2.0-33747076532 (4)

11573/75960 - 1990 - On some semilinear elliptic equations with critical nonlinearities and mixed boundary conditions
Grossi, Massimo - 01a Articolo in rivista
paper: RENDICONTI DI MATEMATICA E DELLE SUE APPLICAZIONI (ESIA Books and Journals:Via Palestro 30, I 00185 Rome Italy:011 39 06 4441220, 011 39 6 4441221, EMAIL: esia@esia.it, Fax: 011 39 06 4747743) pp. 287-302 - issn: 1120-7183 - wos: (0) - scopus: (0)

11573/243572 - 1990 - Positive solutions of nonlinear elliptic equations with critical Sobolev exponent and mixed boundary conditions
Grossi, Massimo; Pacella, Filomena - 01a Articolo in rivista
paper: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS (Royal Society of Edinburgh:22 24 George Street, Edinburgh EH2 2PQ United Kingdom:011 44 131 2256057, INTERNET: http://www.ma.hw.ac.uk/RSE, Fax: 011 44 131 2206889) pp. 23-43 - issn: 0308-2105 - wos: WOS:A1990EF37700002 (30) - scopus: 2-s2.0-84974267575 (34)

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