FRANCESCO PETITTA

Associate professor


email: francesco.petitta@uniroma1.it
phone: +390649766708
building: RM001
room: 8

Francesco Petitta is Associate Professor of Mathematical Analysis at the Faculty of Civil and Industrial Engineering of La Sapienza since 2017. At the same faculty, he has been a permanent researcher since 2011. He graduated in 2001 in Mathematics at the Department of Mathematics "G. Castelnuovo" of La Sapienza and obtained his PhD in Mathematics in 2006 at the same institution. He was a post-doc researcher at the Univ. of Granada (Spain) in 2007, at the Center of Mathematics for Applications (C.M.A), University of Oslo (Norway) from 2007 and 2009, and "Investigador Juan de la Cierva" at the University of Valencia (Spain) from 2009 to 2011. Since the "ASN 2016 session" he is qualified to the role of Full Professor in Mathematical Analysis.

He has participated in national and European research projects such as PRIN, Grupo de Analisís No Lineal y Ecuaciónes Diferenciales (Junta de Andalucia), CAS Research Group Nonlinear Partial Differential Equations (Oslo), PNPGC (MTM Spain), FSE+ (Lazio Region), and coordinated national and local projects (GNAMPA, Sapienza Ateneo, Research and Visiting Professors ). He has held doctoral courses in Italy and Spain. He visited various international scientific institutions, including Universidad Autonoma and Universidad Carlos III (Madrid), Departamento de Matemática CMUC, Universidade de Coimbra (Portugal), Departamento de Álgebra y Análisis Matemático, Alméria, (Spain). He’s been a supervisor for various PhD students and post-doc researchers. He has been an Scientific and Organizing member of international conferences in Italy and Spain, and invited speaker at national and international conferences and institutions. He has served as a referee for several international doctoral theses, National and International Projects, and a member of the GEV - Area 01 - Mathematical and Informatic Sciences, VQR 2015-2019, National Agency for Research Quality Assessment.



Concerning the
scientific research Francesco Petitta mainly deals with the qualitative and quantitative study of elliptic and parabolic Nonlinear Partial Differential Equations. In particular, he study the existence, non-existence, regularity and qualitative properties of solutions for boundary problems associated with elliptic and parabolic equations with singular data and singular non-linearities,
Local estimates, Large Solutions, asymptotic behavior,
Elliptic and parabolic equations with measure data, elliptic and parabolic capacities,
Integro-Differential and Laplacian fractional equations, Non-local phenomena,
Elliptic and parabolic equations derived from functional with linear growth (1-Laplacian, relativistic equations, Mean Curvature Equation, Transparent Media Equations ...)


Research products

11573/1692721 - 2024 - Finite energy solutions for nonlinear elliptic equations with competing gradient, singular and L^1 terms
Balducci, Francesco; Oliva, Francescantonio; Petitta, Francesco - 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. 334-369 - issn: 0022-0396 - wos: WOS:001185788100001 (1) - scopus: 2-s2.0-85184904233 (1)

11573/1715940 - 2024 - Existence, non-existence and degeneracy of limit solutions to $p-$Laplace problems involving Hardy potentials as $p\to1^+$
Carlos Ortiz Chata, Juan; Petitta, Francesco - 01a Articolo in rivista
paper: SIAM JOURNAL ON MATHEMATICAL ANALYSIS (Society for Industrial and Applied Mathematics:3600 University City Science Center:Philadelphia, PA 19104:(800)447-7426, (215)382-9800, EMAIL: service@siam.org, INTERNET: http://www.siam.org, Fax: (215)386-7999) pp. 7014-7042 - issn: 0036-1410 - wos: (0) - scopus: (0)

11573/1711206 - 2024 - Bounded solutions for non-parametric mean curvature problems with nonlinear terms
Giachetti, Daniela; Oliva, Francescantonio; Petitta, Francesco - 01a Articolo in rivista
paper: JOURNAL OF GEOMETRIC ANALYSIS ([New York]: Springer US St. Louis, Mo. : Washington University) pp. - - issn: 1559-002X - wos: (0) - scopus: (0)

11573/1704350 - 2024 - The role of absorption terms in Dirichlet problems for the prescribed mean curvature equation
Oliva, Francescantonio; Petitta, Francesco; Segura De Leon, Sergio - 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. - - issn: 1021-9722 - wos: WOS:001206805000001 (0) - scopus: (0)

11573/1571529 - 2023 - Nonlinear diffusion in transparent media
Giacomelli, Lorenzo; Moll, Salvador; Petitta, Francesco - 01a Articolo in rivista
paper: INTERNATIONAL MATHEMATICS RESEARCH NOTICES (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. 2944-2995 - issn: 1073-7928 - wos: WOS:000790187800001 (1) - scopus: 2-s2.0-85152201877 (1)

11573/1571517 - 2022 - 1-Laplacian type problems with strongly singular nonlinearities and gradient terms
Giachetti, Daniela; Oliva, Francescantonio; Petitta, Francesco - 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. - - issn: 0219-1997 - wos: WOS:000882777100006 (5) - scopus: 2-s2.0-85116843396 (5)

11573/1473984 - 2021 - The Dirichlet problem for the $1$-Laplacian with a general singular term and $L^1$-data
Latorre, Marta; Oliva, Francescantonio; Petitta, Francesco; Segura De León, Sergio - 01a Articolo in rivista
paper: NONLINEARITY (IOP Publishing Limited:Dirac House, Temple Back, Bristol BS1 6BE United Kingdom:011 44 117 9297481, EMAIL: custserv@iop.org, INTERNET: http://www.iop.org, Fax: 011 44 117 9294318) pp. 1791-1816 - issn: 0951-7715 - wos: WOS:000635525900001 (7) - scopus: 2-s2.0-85103512298 (8)

11573/1250456 - 2020 - A nonlinear parabolic problem with singular terms and nonregular data
Oliva, Francescantonio; Petitta, Francesco - 01a Articolo in rivista
paper: NONLINEAR ANALYSIS (Oxford, United Kingdom: Elsevier Science Limited) pp. - - issn: 0362-546X - wos: WOS:000518367600001 (14) - scopus: 2-s2.0-85063045977 (18)

11573/1278535 - 2019 - The Dirichlet problem for singular elliptic equations with general nonlinearities
De Cicco, Virginia; Giachetti, Daniela; Oliva, Francescantonio; Petitta, Francesco - 01a Articolo in rivista
paper: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (Heidelberg ; Berlin : Springer) pp. - - issn: 1432-0835 - wos: WOS:000475550700010 (16) - scopus: 2-s2.0-85068772153 (22)

11573/1356538 - 2019 - Elliptic partial differential equations of second order (book review)
Petitta, Francesco - 01d Recensione
paper: SIAM REVIEW (Society for Industrial and Applied Mathematics:3600 University City Science Center:Philadelphia, PA 19104:(800)447-7426, (215)382-9800, EMAIL: service@siam.org, INTERNET: http://www.siam.org, Fax: (215)386-7999) pp. 903-906 - issn: 0036-1445 - wos: (0) - scopus: (0)

11573/1010720 - 2018 - Nonlinear diffusion in transparent media: the resolvent equation
Giacomelli, Lorenzo; Salvador, Moll; Petitta, Francesco - 01a Articolo in rivista
paper: ADVANCES IN CALCULUS OF VARIATIONS ([Berlin] : de Gruyter) pp. 405-432 - issn: 1864-8266 - wos: WOS:000445862300005 (11) - scopus: 2-s2.0-85037657118 (12)

11573/1005916 - 2018 - Finite and Infinite energy solutions of singular elliptic problems: existence and uniqueness
Oliva, Francescantonio; Petitta, Francesco - 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. 311-340 - issn: 0022-0396 - wos: WOS:000413886600012 (55) - scopus: 2-s2.0-85029703451 (56)

11573/951989 - 2017 - Optimal waiting time bounds for some flux-saturated diffusion equations
Giacomelli, Lorenzo; Moll, Salvador; Petitta, Francesco - 01a Articolo in rivista
paper: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (-PHILADELPHIA, USA: TAYLOR & FRANCIS INC -New York, Marcel Dekker) pp. 556-578 - issn: 0360-5302 - wos: WOS:000400362500003 (3) - scopus: 2-s2.0-85016106811 (4)

11573/825962 - 2016 - Existence of solutions for degenerate parabolic equations with singular terms
Dall'aglio, Andrea; Orsina, Luigi; Petitta, Francesco - 01a Articolo in rivista
paper: NONLINEAR ANALYSIS (Oxford, United Kingdom: Elsevier Science Limited) pp. 273-288 - issn: 0362-546X - wos: WOS:000366664000016 (12) - scopus: 2-s2.0-84948564469 (11)

11573/759830 - 2016 - On a singular elliptic equation with a general measure source
Oliva, Francescantonio; Petitta, Francesco - 01a Articolo in rivista
paper: ESAIM. COCV (Les Ulis: EDP sciences 1999-) pp. 289-308 - issn: 1292-8119 - wos: WOS:000369397300013 (56) - scopus: 2-s2.0-84958985562 (57)

11573/785806 - 2016 - A Lazer-Mckenna type problem with measures
Orsina, Luigi; Petitta, Francesco - 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. 19-36 - issn: 0893-4983 - wos: WOS:000370111700002 (30) - scopus: 2-s2.0-85011555674 (30)

11573/825973 - 2016 - Some remarks on the duality method for integro-differential equations with measure data
Petitta, Francesco - 01a Articolo in rivista
paper: ADVANCED NONLINEAR STUDIES (ADVANCED NONLINEAR STUDIES, INC, PO BOX 691204, SAN ANTONIO, USA, TX, 78269) pp. 115-124 - issn: 1536-1365 - wos: WOS:000371289600010 (13) - scopus: 2-s2.0-84957948572 (13)

11573/759832 - 2015 - On the notion of renormalized solution to nonlinear parabolic equations with general measure data
Petitta, Francesco; A., Porretta - 01a Articolo in rivista
paper: JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS (Duebendorf (Schulhausstrasse 14a) : Orthogonal Editions, c/o M. Chipot, 2015-) pp. 201-214 - issn: 2296-9020 - wos: WOS:000442702600013 (26) - scopus: 2-s2.0-85016178644 (32)

11573/513285 - 2015 - Large solutions for the elliptic 1-Laplacian with absorption
S., Moll; Petitta, Francesco - 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. 113-138 - issn: 0021-7670 - wos: WOS:000354706300004 (7) - scopus: 2-s2.0-84922570091 (7)

11573/479256 - 2013 - Renormalized solutions of nonlinear parabolic equations with diffuse measure data
Dominique, Blanchard; Petitta, Francesco; Hicham, Redwane - 01a Articolo in rivista
paper: MANUSCRIPTA MATHEMATICA (Heidelberg Germany: Springer Verlag Germany:Tiergartenstrasse) pp. 601-635 - issn: 0025-2611 - wos: WOS:000319914800010 (24) - scopus: 2-s2.0-84878753801 (27)

11573/518324 - 2013 - Singular problems: existence and homogenization results
Giachetti, Daniela; P., Donato; Petitta, Francesco; S., Segura De Leon - 04b Atto di convegno in volume
conference: Edp-Normandie (Le Havre)
book: Équations aux dérivées partielles et leurs applications-Actes du colloque Edp-Normandie. Le Havre 2012 - (9782954122113)

11573/509807 - 2013 - A priori estimates for elliptic problems with a strongly singular gradient term and a general datum
Giachetti, Daniela; Petitta, Francesco; S., Segura De Leon - 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. 913-948 - issn: 0893-4983 - wos: WOS:000322425200004 (31) - scopus: 2-s2.0-84886501294 (32)

11573/434273 - 2012 - ELLIPTIC EQUATIONS HAVING A SINGULAR QUADRATIC GRADIENT TERM AND A CHANGING SIGN DATUM
Giachetti, Daniela; Petitta, Francesco; S., Segura De Leon - 01a Articolo in rivista
paper: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS (Springfield, MO : AIMS Press, c2002-) pp. 1875-1895 - issn: 1534-0392 - wos: WOS:000308023400014 (35) - scopus: 2-s2.0-84870454017 (36)

11573/429246 - 2012 - Large solutions for nonlinear parabolic equations without absorption terms
Salvador, Moll; Petitta, Francesco - 01a Articolo in rivista
paper: JOURNAL OF FUNCTIONAL ANALYSIS (New York: Academic Press.) pp. 1566-1602 - issn: 0022-1236 - wos: WOS:000299140000008 (16) - scopus: 2-s2.0-84855236533 (16)

11573/225272 - 2011 - Quasilinear elliptic equations with singular quadratic growth terms
Boccardo, Lucio; Leonori, Tommaso; Orsina, Luigi; Petitta, Francesco - 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. 607-642 - issn: 0219-1997 - wos: WOS:000294215400003 (5) - scopus: 2-s2.0-80052101331 (5)

11573/343422 - 2011 - A DUALITY APPROACH TO THE FRACTIONAL LAPLACIAN WITH MEASURE DATA
K. H., Karlsen; Petitta, Francesco; S., Ulusoy - 01a Articolo in rivista
paper: PUBLICACIONS MATEMÀTIQUES (-Barcelona Spain: Departamento de Matematicas, Universidad Autonoma de Barcelona. INTERNET: http://www.mat.uab.es/pubmat) pp. 151-161 - issn: 0214-1493 - wos: WOS:000286799400007 (35) - scopus: 2-s2.0-78951479821 (36)

11573/343421 - 2011 - Local estimates for parabolic equations with nonlinear gradient terms
Leonori, Tommaso; Petitta, Francesco - 01a Articolo in rivista
paper: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (Heidelberg; Berlin: Springer) pp. 153-187 - issn: 0944-2669 - wos: WOS:000292879400008 (16) - scopus: 2-s2.0-79960442068 (18)

11573/341705 - 2011 - Parabolic equations with nonlinear singularities
Pedro J., Martinez Aparicio; Petitta, Francesco - 01a Articolo in rivista
paper: NONLINEAR ANALYSIS (Oxford, United Kingdom: Elsevier Science Limited) pp. 114-131 - issn: 0362-546X - wos: WOS:000282368800011 (18) - scopus: 2-s2.0-77957684192 (17)

11573/451836 - 2011 - Nonlinear parabolic equations with absorption terms and measure data
Petitta, Francesco; A., Ponce; A., Porretta - 04d Abstract in atti di convegno
conference: XXII Congreso de Ecuaciones Diferenciales y Aplicaciones, XII Congreso de Matemtica Aplicada ()

11573/429020 - 2011 - Diffuse measures and nonlinear parabolic equations
Petitta, Francesco; Augusto C., Ponce; Alessio, Porretta - 01a Articolo in rivista
paper: JOURNAL OF EVOLUTION EQUATIONS (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. 861-905 - issn: 1424-3199 - wos: WOS:000297349600007 (59) - scopus: 2-s2.0-84862868760 (71)

11573/451840 - 2011 - Large solutions for parabolic equations without absorption
S., Moll; Petitta, Francesco - 04d Abstract in atti di convegno
conference: XXII Congreso de Ecuaciones Diferenciales y Aplicaciones, XII Congreso de Matemtica Aplicada (Palma de Mallorca)
book: Proceedings XXII Congreso de Ecuaciones Diferenciales y Aplicaciones, XII Congreso de Matemtica Aplicada, Universidad de Les Illes Balears, Palma de Mallorca, (September 5–9, 2011) - (9788469449356)

11573/343420 - 2010 - A generalized porous medium equation related to some singular quasilinear problems
Petitta, Francesco - 01a Articolo in rivista
paper: NONLINEAR ANALYSIS (Oxford, United Kingdom: Elsevier Science Limited) pp. 4115-4123 - issn: 0362-546X - wos: WOS:000277277500022 (2) - scopus: 2-s2.0-77949487748 (1)

11573/70490 - 2009 - Existence and nonexistence of solutions for singular quadratic quasilinear equations
David, Arcoya; Jose, Carmona; Leonori, Tommaso; Pedro J., Martinez Aparicio; Orsina, Luigi; Petitta, Francesco - 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. 4006-4042 - issn: 0022-0396 - wos: WOS:000265443900010 (83) - scopus: 2-s2.0-63649148058 (88)

11573/342723 - 2009 - A non-existence result for nonlinear parabolic equations with singular measure data
Petitta, Francesco - 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. 381-392 - issn: 0308-2105 - wos: WOS:000265389200010 (11) - scopus: 2-s2.0-70149116588 (15)

11573/342721 - 2008 - Renormalized solutions of nonlinear parabolic equations with general measure data
Petitta, Francesco - 01a Articolo in rivista
paper: ANNALI DI MATEMATICA PURA ED APPLICATA (-Heidelberg : Springer-Verlag -Bologna : Zanichelli Nicola) pp. 563-604 - issn: 0373-3114 - wos: WOS:000256908400002 (76) - scopus: 2-s2.0-45749154233 (86)

11573/343419 - 2008 - Large time behavior for solutions of nonlinear parabolic problems with sign-changing measure data.
Petitta, Francesco - 01a Articolo in rivista
paper: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS (San Marcos, TX , USA: South West Texas State University) pp. 1-10 - issn: 1072-6691 - wos: WOS:000208975100012 (1) - scopus: 2-s2.0-53349103359 (11)

11573/342722 - 2008 - Approximation of diffuse measures for parabolic capacities
Petitta, Francesco; Ponce, A; Porretta, A. - 01a Articolo in rivista
paper: COMPTES RENDUS MATHÉMATIQUE (Paris : Elsevier 2002-) pp. 161-166 - issn: 1631-073X - wos: WOS:000254188000008 (24) - scopus: 2-s2.0-39049128758 (28)

11573/342719 - 2007 - Existence and regularity results for some singular elliptic problems
Leonori, Tommaso; Petitta, Francesco - 01a Articolo in rivista
paper: ADVANCED NONLINEAR STUDIES (ADVANCED NONLINEAR STUDIES, INC, PO BOX 691204, SAN ANTONIO, USA, TX, 78269) pp. 329-344 - issn: 1536-1365 - wos: WOS:000248583300002 (6) - scopus: 2-s2.0-34547954796 (7)

11573/342717 - 2007 - Equazioni paraboliche nonlineari con dato misura
Petitta, Francesco - 01a Articolo in rivista
paper: BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. A (Bologna: Zanichelli) pp. 323-326 - issn: 0392-4033 - wos: (0) - scopus: 2-s2.0-35348880845 (0)

11573/342718 - 2007 - Asymptotic behavior of solutions for linear parabolic equations with general measure data
Petitta, Francesco - 01a Articolo in rivista
paper: COMPTES RENDUS MATHÉMATIQUE (Paris : Elsevier 2002-) pp. 571-576 - issn: 1631-073X - wos: WOS:000247260600006 (29) - scopus: 2-s2.0-34247868085 (36)

11573/342720 - 2007 - Asymptotic behavior of solutions for parabolic operators of Leray–Lions type and measure data
Petitta, Francesco - 01a Articolo in rivista
paper: ADVANCES IN DIFFERENTIAL EQUATIONS (Athens, Ohio, USA: Khayyam Publishing Company Incorporated) pp. 867-891 - issn: 1079-9389 - wos: (0) - scopus: 2-s2.0-53349168434 (28)

11573/350503 - 2007 - A Not So Long Introduction to the Weak Theory of Parabolic Equations with Singular Data
Petitta, Francesco - 03a Saggio, Trattato Scientifico

11573/342473 - 2006 - Asymptotic behavior of solutions for parabolic equations with natural growth term and irregular data
Leonori, Tommaso; Petitta, Francesco - 01a Articolo in rivista
paper: ASYMPTOTIC ANALYSIS (Amsterdam: North-Holland) pp. 219-233 - issn: 0921-7134 - wos: WOS:000240092900002 (17) - scopus: 2-s2.0-33748486720 (22)

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