Edit Profile (opens in new tab) Petitta, Francesco Co-Author Distance Author ID: petitta.francesco Published as: Petitta, Francesco; Petitta, F. External Links: MGP Documents Indexed: 45 Publications since 2006, including 5 Additional arXiv Preprints Co-Authors: 26 Co-Authors with 36 Joint Publications 473 Co-Co-Authors all top 5 Co-Authors 9 single-authored 12 Oliva, Francescantonio 7 Giachetti, Daniela 5 Leonori, Tommaso 5 Moll, Salvador 5 Segura de León, Sergio 4 Orsina, Luigi 3 Giacomelli, Lorenzo 3 Martínez-Aparicio, Pedro J. 3 Porretta, Alessio 2 Balducci, Francesco 2 Chata, Juan Carlos Ortiz 2 Ponce, Augusto C. 1 Aparicio, Antonio J. Martínez 1 Arcoya, David 1 Blanchard, Dominique 1 Boccardo, Lucio 1 Carmona Tapia, Jose 1 Dall’Aglio, Andrea 1 De Cicco, Virginia 1 Donato, Patrizia 1 Karlsen, Kenneth Hvistendahl 1 Latorre, Marta 1 Murat, François 1 Redwane, Hicham 1 Stapenhorst, Matheus F. 1 Ulusoy, Suleyman all top 5 Serials 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Differential Equations 2 Differential and Integral Equations 2 Calculus of Variations and Partial Differential Equations 2 Communications in Contemporary Mathematics 2 Advanced Nonlinear Studies 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal d’Analyse Mathématique 1 Nonlinearity 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Functional Analysis 1 Manuscripta Mathematica 1 Asymptotic Analysis 1 Publicacions Matemàtiques 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura 1 Journal of Evolution Equations 1 Communications on Pure and Applied Analysis 1 Advances in Calculus of Variations 1 Journal of Elliptic and Parabolic Equations all top 5 Fields 40 Partial differential equations (35-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 749 times in 322 Documents Cited by ▼ Year ▼ Renormalized solutions of nonlinear parabolic equations with general measure data. Zbl 1150.35060 Petitta, Francesco 84 2008 Existence and nonexistence of solutions for singular quadratic quasilinear equations. Zbl 1173.35051 Arcoya, David; Carmona, José; Leonori, Tommaso; Martínez-Aparicio, Pedro J.; Orsina, Luigi; Petitta, Francesco 70 2009 Diffuse measures and nonlinear parabolic equations. Zbl 1243.35108 Petitta, Francesco; Ponce, Augusto C.; Porretta, Alessio 59 2011 On singular elliptic equations with measure sources. Zbl 1337.35060 Oliva, Francescantonio; Petitta, Francesco 54 2016 Finite and infinite energy solutions of singular elliptic problems: existence and uniqueness. Zbl 1380.35101 Oliva, Francescantonio; Petitta, Francesco 50 2018 A duality approach to the fractional Laplacian with measure data. Zbl 1208.35162 Karlsen, Kenneth H.; Petitta, Francesco; Ulusoy, Suleyman 33 2011 Elliptic equations having a singular quadratic gradient term and a changing sign datum. Zbl 1266.35103 Giachetti, Daniela; Petitta, Francesco; Segura De León, Sergio 32 2012 A Lazer-McKenna type problem with measures. Zbl 1349.35120 Orsina, Luigi; Petitta, Francesco 31 2016 Asymptotic behavior of solutions for linear parabolic equations with general measure data. Zbl 1124.35318 Petitta, Francesco 30 2007 A priori estimates for elliptic problems with a strongly singular gradient term and a general datum. Zbl 1299.35139 Giachetti, Daniela; Petitta, Francesco; Segura de León, Sergio 29 2013 On the notion of renormalized solution to nonlinear parabolic equations with general measure data. Zbl 1386.35190 Petitta, Francesco; Porretta, Alessio 29 2015 Renormalized solutions of nonlinear parabolic equations with diffuse measure data. Zbl 1270.35274 Blanchard, Dominique; Petitta, Francesco; Redwane, Hicham 25 2013 Approximation of diffuse measures for parabolic capacities. Zbl 1141.35313 Petitta, Francesco; Ponce, Augusto C.; Porretta, Alessio 24 2008 The Dirichlet problem for singular elliptic equations with general nonlinearities. Zbl 1422.35074 De Cicco, Virginia; Giachetti, Daniela; Oliva, Francescantonio; Petitta, Francesco 21 2019 Asymptotic behavior of solutions for parabolic operators of Leray-Lions type and measure data. Zbl 1152.35323 Petitta, Francesco 18 2007 A nonlinear parabolic problem with singular terms and nonregular data. Zbl 1439.35197 Oliva, Francescantonio; Petitta, Francesco 17 2020 Asymptotic behavior for solutions of parabolic equations with natural growth terms and irregular data. Zbl 1145.35346 Leonori, Tommaso; Petitta, Francesco 15 2006 Some remarks on the duality method for integro-differential equations with measure data. Zbl 1382.35331 Petitta, Francesco 13 2016 Local estimates for parabolic equations with nonlinear gradient terms. Zbl 1223.35094 Leonori, Tommaso; Petitta, Francesco 13 2011 A non-existence result for nonlinear parabolic equations with singular measures as data. Zbl 1173.35557 Petitta, Francesco 13 2009 Large solutions for nonlinear parabolic equations without absorption terms. Zbl 1246.35116 Moll, Salvador; Petitta, Francesco 13 2012 Parabolic equations with nonlinear singularities. Zbl 1203.35155 Martínez-Aparicio, Pedro J.; Petitta, Francesco 13 2011 Existence of solutions for degenerate parabolic equations with singular terms. Zbl 1332.35188 Dall’Aglio, Andrea; Orsina, Luigi; Petitta, Francesco 10 2016 The Dirichlet problem for the 1-Laplacian with a general singular term and \(L^1\)-data. Zbl 1465.35230 Latorre, Marta; Oliva, Francescantonio; Petitta, Francesco; Segura de León, Sergio 9 2021 Large time behavior for solutions of nonlinear parabolic problems with sign-changing measure data. Zbl 1173.35373 Petitta, Francesco 9 2008 Nonlinear diffusion in transparent media: the resolvent equation. Zbl 1497.35158 Giacomelli, Lorenzo; Moll, Salvador; Petitta, Francesco 9 2018 Large solutions for the elliptic 1-Laplacian with absorption. Zbl 1323.35013 Moll, Salvador; Petitta, Francesco 7 2015 Existence and regularity results for some singular elliptic problems. Zbl 1221.35125 Leonori, Tommaso; Petitta, Francesco 6 2007 1-Laplacian type problems with strongly singular nonlinearities and gradient terms. Zbl 1501.35239 Giachetti, Daniela; Oliva, Francescantonio; Petitta, Francesco 5 2022 Optimal waiting time bounds for some flux-saturated diffusion equations. Zbl 1496.35235 Giacomelli, Lorenzo; Moll, Salvador; Petitta, Francesco 4 2017 Quasilinear elliptic equations with singular quadratic growth terms. Zbl 1231.35079 Boccardo, Lucio; Leonori, Tommaso; Orsina, Luigi; Petitta, Francesco 3 2011 Nonlinear diffusion in transparent media. Zbl 1512.35390 Giacomelli, Lorenzo; Moll, Salvador; Petitta, Francesco 1 2023 Nonlinear diffusion in transparent media. Zbl 1512.35390 Giacomelli, Lorenzo; Moll, Salvador; Petitta, Francesco 1 2023 1-Laplacian type problems with strongly singular nonlinearities and gradient terms. Zbl 1501.35239 Giachetti, Daniela; Oliva, Francescantonio; Petitta, Francesco 5 2022 The Dirichlet problem for the 1-Laplacian with a general singular term and \(L^1\)-data. Zbl 1465.35230 Latorre, Marta; Oliva, Francescantonio; Petitta, Francesco; Segura de León, Sergio 9 2021 A nonlinear parabolic problem with singular terms and nonregular data. Zbl 1439.35197 Oliva, Francescantonio; Petitta, Francesco 17 2020 The Dirichlet problem for singular elliptic equations with general nonlinearities. Zbl 1422.35074 De Cicco, Virginia; Giachetti, Daniela; Oliva, Francescantonio; Petitta, Francesco 21 2019 Finite and infinite energy solutions of singular elliptic problems: existence and uniqueness. Zbl 1380.35101 Oliva, Francescantonio; Petitta, Francesco 50 2018 Nonlinear diffusion in transparent media: the resolvent equation. Zbl 1497.35158 Giacomelli, Lorenzo; Moll, Salvador; Petitta, Francesco 9 2018 Optimal waiting time bounds for some flux-saturated diffusion equations. Zbl 1496.35235 Giacomelli, Lorenzo; Moll, Salvador; Petitta, Francesco 4 2017 On singular elliptic equations with measure sources. Zbl 1337.35060 Oliva, Francescantonio; Petitta, Francesco 54 2016 A Lazer-McKenna type problem with measures. Zbl 1349.35120 Orsina, Luigi; Petitta, Francesco 31 2016 Some remarks on the duality method for integro-differential equations with measure data. Zbl 1382.35331 Petitta, Francesco 13 2016 Existence of solutions for degenerate parabolic equations with singular terms. Zbl 1332.35188 Dall’Aglio, Andrea; Orsina, Luigi; Petitta, Francesco 10 2016 On the notion of renormalized solution to nonlinear parabolic equations with general measure data. Zbl 1386.35190 Petitta, Francesco; Porretta, Alessio 29 2015 Large solutions for the elliptic 1-Laplacian with absorption. Zbl 1323.35013 Moll, Salvador; Petitta, Francesco 7 2015 A priori estimates for elliptic problems with a strongly singular gradient term and a general datum. Zbl 1299.35139 Giachetti, Daniela; Petitta, Francesco; Segura de León, Sergio 29 2013 Renormalized solutions of nonlinear parabolic equations with diffuse measure data. Zbl 1270.35274 Blanchard, Dominique; Petitta, Francesco; Redwane, Hicham 25 2013 Elliptic equations having a singular quadratic gradient term and a changing sign datum. Zbl 1266.35103 Giachetti, Daniela; Petitta, Francesco; Segura De León, Sergio 32 2012 Large solutions for nonlinear parabolic equations without absorption terms. Zbl 1246.35116 Moll, Salvador; Petitta, Francesco 13 2012 Diffuse measures and nonlinear parabolic equations. Zbl 1243.35108 Petitta, Francesco; Ponce, Augusto C.; Porretta, Alessio 59 2011 A duality approach to the fractional Laplacian with measure data. Zbl 1208.35162 Karlsen, Kenneth H.; Petitta, Francesco; Ulusoy, Suleyman 33 2011 Local estimates for parabolic equations with nonlinear gradient terms. Zbl 1223.35094 Leonori, Tommaso; Petitta, Francesco 13 2011 Parabolic equations with nonlinear singularities. Zbl 1203.35155 Martínez-Aparicio, Pedro J.; Petitta, Francesco 13 2011 Quasilinear elliptic equations with singular quadratic growth terms. Zbl 1231.35079 Boccardo, Lucio; Leonori, Tommaso; Orsina, Luigi; Petitta, Francesco 3 2011 Existence and nonexistence of solutions for singular quadratic quasilinear equations. Zbl 1173.35051 Arcoya, David; Carmona, José; Leonori, Tommaso; Martínez-Aparicio, Pedro J.; Orsina, Luigi; Petitta, Francesco 70 2009 A non-existence result for nonlinear parabolic equations with singular measures as data. Zbl 1173.35557 Petitta, Francesco 13 2009 Renormalized solutions of nonlinear parabolic equations with general measure data. Zbl 1150.35060 Petitta, Francesco 84 2008 Approximation of diffuse measures for parabolic capacities. Zbl 1141.35313 Petitta, Francesco; Ponce, Augusto C.; Porretta, Alessio 24 2008 Large time behavior for solutions of nonlinear parabolic problems with sign-changing measure data. Zbl 1173.35373 Petitta, Francesco 9 2008 Asymptotic behavior of solutions for linear parabolic equations with general measure data. Zbl 1124.35318 Petitta, Francesco 30 2007 Asymptotic behavior of solutions for parabolic operators of Leray-Lions type and measure data. Zbl 1152.35323 Petitta, Francesco 18 2007 Existence and regularity results for some singular elliptic problems. Zbl 1221.35125 Leonori, Tommaso; Petitta, Francesco 6 2007 Asymptotic behavior for solutions of parabolic equations with natural growth terms and irregular data. Zbl 1145.35346 Leonori, Tommaso; Petitta, Francesco 15 2006 all cited Publications top 5 cited Publications all top 5 Cited by 319 Authors 25 Petitta, Francesco 21 Redwane, Hicham 19 Oliva, Francescantonio 15 Abdellaoui, Mohammed Amin 15 Klimsiak, Tomasz 13 El Hadfi, Youssef 11 Boccardo, Lucio 11 Martínez-Aparicio, Pedro J. 10 Carmona Tapia, Jose 10 Segura de León, Sergio 9 El Ouardy, Mounim 9 Leonori, Tommaso 9 Marah, Amine 8 Rozkosz, Andrzej 8 Sbai, Abdelaaziz 7 Cowan, Craig 7 Giachetti, Daniela 7 Porretta, Alessio 7 Sciunzi, Berardino 6 Azroul, Elhoussine 6 Choudhuri, Debajyoti 6 Esposito, Francesco 6 Orsina, Luigi 6 Wu, Yonghong 6 Zhang, Xinguang 5 Abdellaoui, Boumediene 5 Aghajani, Asadollah 5 Durastanti, Riccardo 5 Magliocca, Martina 5 Moll, Salvador 5 Niu, Weisheng 5 Peral Alonso, Ireneo 4 Arcoya, David 4 Buccheri, Stefano 4 Cirmi, Giuseppa Rita 4 Dall’Aglio, Andrea 4 De Cicco, Virginia 4 Garain, Prashanta 4 Godoy, Tomás F. 4 Huang, Shuibo 4 Palatucci, Giampiero 4 Park, Jung-Tae 4 Santos, Carlos Alberto P. 4 Wiwatanapataphee, Benchawan 4 Youssfi, Ahmed 3 Aouaoui, Sami 3 Bayrami-Aminlouee, Masoud 3 Bidaut-Veron, Marie-Françoise 3 Bouajaja, A. 3 Brandolini, Barbara 3 Byun, Sun-Sig 3 Canino, Annamaria 3 Chlebicka, Iwona 3 D’asero, Salvatore 3 de Cave, Linda Maria 3 El Haji, Badr 3 Eljazouli, A. 3 Ghosh, Sekhar 3 Guerin, Alfredo J. 3 Guibé, Olivier 3 Gwiazda, Piotr 3 Hesaaraki, Mahmoud 3 Khelifi, Hichem 3 López-Martínez, Salvador 3 Lui, Shiu Hong 3 Molino, Alexis 3 Mukminov, Farit Khamzaevich 3 Ould Mohamed Mahmoud, Ghoulam 3 Panda, Akasmika 3 Razani, Abdolrahman 3 Tian, Qiaoyu 3 Trombetta, Alessandro 3 Zhang, Chao 2 Alaa, Noureddine 2 Aqel, Fatima Al-Zahra’ 2 Blanchard, Dominique 2 Carvalho, Marcos Leandro 2 Chai, Xiaojuan 2 Chen, Huyuan 2 Cîrstea, Florica-Corina Şt. 2 Crasta, Graziano 2 De Bonis, Ida 2 Della Pietra, Francesco 2 di Castro, Agnese 2 El Hichami, Mohamed 2 El Moumni, Mostafa 2 Giacomelli, Lorenzo 2 Abreu Goncalves, Jose Valdo 2 Guarnotta, Umberto 2 Hamour, Boussad 2 Hara, Takanobu 2 Ifzarne, Aziz 2 Leonardi, Salvatore 2 Liu, Liguang 2 Liu, Lishan 2 Livrea, Roberto 2 Ma, Wenxian 2 Marano, Salvatore Angelo 2 Montoro, Luigi 2 Moreno-Mérida, Lourdes ...and 219 more Authors all top 5 Cited in 108 Serials 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Journal of Differential Equations 13 Journal of Mathematical Analysis and Applications 13 NoDEA. Nonlinear Differential Equations and Applications 11 Calculus of Variations and Partial Differential Equations 10 Journal of Elliptic and Parabolic Equations 9 Journal of Functional Analysis 9 Journal of Evolution Equations 7 Discrete and Continuous Dynamical Systems 6 Mathematical Methods in the Applied Sciences 6 Advanced Nonlinear Studies 6 Mediterranean Journal of Mathematics 6 Complex Variables and Elliptic Equations 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Ricerche di Matematica 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Communications in Contemporary Mathematics 5 Advances in Nonlinear Analysis 4 Monatshefte für Mathematik 4 Applied Mathematics Letters 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Boletim da Sociedade Paranaense de Matemática. Terceira Série 4 Journal of Pseudo-Differential Operators and Applications 4 Journal of Nonlinear Evolution Equations and Applications 4 S\(\vec{\text{e}}\)MA Journal 4 Advances in Operator Theory 4 Bollettino dell’Unione Matematica Italiana 3 Applicable Analysis 3 Le Matematiche 3 Results in Mathematics 3 Potential Analysis 3 Topological Methods in Nonlinear Analysis 3 Nonlinear Analysis. Modelling and Control 3 Mathematical Modelling and Analysis 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Communications on Pure and Applied Analysis 3 Advances in Calculus of Variations 3 AIMS Mathematics 2 Journal d’Analyse Mathématique 2 Advances in Mathematics 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 The Journal of Geometric Analysis 2 Communications in Partial Differential Equations 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Mathematical Sciences (New York) 2 Bulletin des Sciences Mathématiques 2 Opuscula Mathematica 2 Advances in Differential Equations 2 Revista Matemática Complutense 2 Nonlinear Analysis. Real World Applications 2 Milan Journal of Mathematics 2 Boundary Value Problems 2 Journal of Fixed Point Theory and Applications 2 Discrete and Continuous Dynamical Systems. Series S 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Analysis and Mathematical Physics 2 Moroccan Journal of Pure and Applied Analysis 1 Communications in Mathematical Physics 1 Journal of Computational Physics 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Ukrainian Mathematical Journal 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Applied Mathematics and Optimization 1 Demonstratio Mathematica 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Korean Mathematical Society 1 Asymptotic Analysis 1 Mathematica Bohemica 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Stochastic Processes and their Applications 1 Journal of Dynamics and Differential Equations 1 Indagationes Mathematicae. New Series 1 Journal of Nonlinear Science 1 Electronic Journal of Differential Equations (EJDE) 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 European Journal of Control 1 Abstract and Applied Analysis 1 Journal of the European Mathematical Society (JEMS) 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Analysis and Applications (Singapore) 1 Journal of Mathematical Physics, Analysis, Geometry ...and 8 more Serials all top 5 Cited in 23 Fields 312 Partial differential equations (35-XX) 22 Functional analysis (46-XX) 18 Measure and integration (28-XX) 16 Operator theory (47-XX) 11 Probability theory and stochastic processes (60-XX) 9 Potential theory (31-XX) 8 Real functions (26-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Integral equations (45-XX) 5 Numerical analysis (65-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Biology and other natural sciences (92-XX) 2 Ordinary differential equations (34-XX) 2 Differential geometry (53-XX) 2 Fluid mechanics (76-XX) 2 Systems theory; control (93-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year