FRANCESCO PETITTA

Professore associato

email: francesco.petitta@uniroma1.it
telefono: +390649766708
edificio: RM001
stanza: 8

Francesco Petitta è Professore Associato di Analisi Matematica presso la Facoltà di Ingegneria civile e industriale della Sapienza dal 2017. Presso la stessa facoltà, è stato ricercatore a tempo indeterminato dal 2011. Si è laureato nel 2001 in Matematica presso il Dipartimento di Matematica "G. Castelnuovo" della Sapienza e ha ottenuto il Dottorato di Ricerca in Matematica nel 2006 presso la stessa struttura. E' stato ricercatore post-doc presso l'Univ. di Granada (Spagna) nel 2007, presso il Center of Mathematics for Applications (C.M.A) , Università of Oslo (Norvegia), e "Investigador Juan de la Cierva" presso l'Università di Valencia (Spagna) dal 2009 al 2011. Dalla tornata ASN 2016 è abilitato al ruolo di professore di Prima Fascia in Analisi Matematica.

Ha partecipato a progetti di ricerca nazionali ed europei come PRIN, Grupo de Analisís No Lineal y Ecuaciónes Diferenciales (Junta de Andalucia), CAS Research Group Nonlinear Partial Differential Equations, (Oslo), PNPGC (MTM Spain), FSE+ (Regione Lazio), ed ha coordinato progetti nazionali e locali (GNAMPA, Sapienza Ateneo, RIcerca e Professori Visitatori ). Ha tenuto corsi di dottorato in Italia e Spagna. Ha visitato varie istituzioni scientifiche internazionali, tra cui Università Autonoma e Carlos III (Madrid), Departamento de Matemática CMUC, Universidade de Coimbra (Portogallo), Departamento de Álgebra y Análisis Matemático, Alméria, (Spagna). E' stato supervisore di vari studenti di dottorato e ricercatori Post-doc. E' stato organizzatore di Conferenze internazionali in Italia e in Spagna, e relatore su invito in conferenze nazionali ed internazionali. Ha servito come referee per svariate tesi dottorali internazionali, Progetti Nazionali ed Internazionali e membro del GEV - Area 01 - Scienze matematiche e informatiche, VQR 2015-2019, Agenzia nazionale di valutazione del sistema universitario e della ricerca.

In ambito scientifico si occupa principalmente dello studio qualitativo e quantitativo di Equazioni Nonlineari alle derivate parziali ellittiche e paraboliche. In particolare si è interessato dello studio di esistenza, non-esistenza, regolarità e proprietà qualitative di soluzioni per problemi al contorno associati ad equazioni ellittiche e paraboliche con dati singolari e non linearità singolari,
Stime locali, Large Solutions, comportamento asintotico,
Equazioni ellittiche e paraboliche con dati di misura, capacità ellittica e parabolica,
Equazioni Integro-Differenziali e Laplaciano frazionarie, Fenomeni non locali,
Equazioni ellittiche e paraboliche derivanti da funzionali con crescita lineare (1-Laplaciano, equazioni relativistica, Mean Curvature Equation,Equazioni Transparent Media ...).

Produzione scientifica

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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

congresso: Edp-Normandie (Le Havre)

libro: 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

rivista: 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 (31)

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

rivista: 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 (35)

11573/429246 - 2012 - Large solutions for nonlinear parabolic equations without absorption terms

Salvador, Moll; Petitta, Francesco - 01a Articolo in rivista

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

congresso: 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

rivista: 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

congresso: XXII Congreso de Ecuaciones Diferenciales y Aplicaciones, XII Congreso de Matemtica Aplicada (Palma de Mallorca)

libro: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: 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

rivista: ASYMPTOTIC ANALYSIS (Amsterdam: North-Holland) pp. 219-233 - issn: 0921-7134 - wos: WOS:000240092900002 (17) - scopus: 2-s2.0-33748486720 (22)