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: 36 Publications since 2006 Co-Authors: 21 Co-Authors with 27 Joint Publications 400 Co-Co-Authors all top 5 Co-Authors 9 single-authored 6 Oliva, Francescantonio 5 Giachetti, Daniela 5 Leonori, Tommaso 5 Moll, Salvador 4 Orsina, Luigi 4 Segura de León, Sergio 3 Giacomelli, Lorenzo 3 Porretta, Alessio 2 Martínez-Aparicio, Pedro J. 2 Ponce, Augusto C. 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 Redwane, Hicham 1 Ulusoy, Suleyman all top 5 Serials 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 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 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Review 1 Electronic Journal of Differential Equations (EJDE) 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 36 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 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 581 times in 259 Documents Cited by ▼ Year ▼ Renormalized solutions of nonlinear parabolic equations with general measure data. Zbl 1150.35060Petitta, Francesco 73 2008 Existence and nonexistence of solutions for singular quadratic quasilinear equations. Zbl 1173.35051Arcoya, David; Carmona, José; Leonori, Tommaso; Martínez-Aparicio, Pedro J.; Orsina, Luigi; Petitta, Francesco 58 2009 Diffuse measures and nonlinear parabolic equations. Zbl 1243.35108Petitta, Francesco; Ponce, Augusto C.; Porretta, Alessio 49 2011 On singular elliptic equations with measure sources. Zbl 1337.35060Oliva, Francescantonio; Petitta, Francesco 42 2016 Finite and infinite energy solutions of singular elliptic problems: existence and uniqueness. Zbl 1380.35101Oliva, Francescantonio; Petitta, Francesco 36 2018 A duality approach to the fractional Laplacian with measure data. Zbl 1208.35162Karlsen, Kenneth H.; Petitta, Francesco; Ulusoy, Suleyman 28 2011 Elliptic equations having a singular quadratic gradient term and a changing sign datum. Zbl 1266.35103Giachetti, Daniela; Petitta, Francesco; Segura De León, Sergio 27 2012 Asymptotic behavior of solutions for linear parabolic equations with general measure data. Zbl 1124.35318Petitta, Francesco 24 2007 A priori estimates for elliptic problems with a strongly singular gradient term and a general datum. Zbl 1299.35139Giachetti, Daniela; Petitta, Francesco; Segura de León, Sergio 24 2013 On the notion of renormalized solution to nonlinear parabolic equations with general measure data. Zbl 1386.35190Petitta, Francesco; Porretta, Alessio 23 2015 A Lazer-McKenna type problem with measures. Zbl 1349.35120Orsina, Luigi; Petitta, Francesco 21 2016 Approximation of diffuse measures for parabolic capacities. Zbl 1141.35313Petitta, Francesco; Ponce, Augusto C.; Porretta, Alessio 20 2008 Renormalized solutions of nonlinear parabolic equations with diffuse measure data. Zbl 1270.35274Blanchard, Dominique; Petitta, Francesco; Redwane, Hicham 19 2013 Asymptotic behavior of solutions for parabolic operators of Leray-Lions type and measure data. Zbl 1152.35323Petitta, Francesco 15 2007 Asymptotic behavior for solutions of parabolic equations with natural growth terms and irregular data. Zbl 1145.35346Leonori, Tommaso; Petitta, Francesco 14 2006 Local estimates for parabolic equations with nonlinear gradient terms. Zbl 1223.35094Leonori, Tommaso; Petitta, Francesco 12 2011 A non-existence result for nonlinear parabolic equations with singular measures as data. Zbl 1173.35557Petitta, Francesco 12 2009 Some remarks on the duality method for integro-differential equations with measure data. Zbl 1382.35331Petitta, Francesco 11 2016 A nonlinear parabolic problem with singular terms and nonregular data. Zbl 1439.35197Oliva, Francescantonio; Petitta, Francesco 10 2020 Parabolic equations with nonlinear singularities. Zbl 1203.35155Martínez-Aparicio, Pedro J.; Petitta, Francesco 9 2011 Large solutions for nonlinear parabolic equations without absorption terms. Zbl 1246.35116Moll, Salvador; Petitta, Francesco 9 2012 Large time behavior for solutions of nonlinear parabolic problems with sign-changing measure data. Zbl 1173.35373Petitta, Francesco 8 2008 Existence of solutions for degenerate parabolic equations with singular terms. Zbl 1332.35188Dall’Aglio, Andrea; Orsina, Luigi; Petitta, Francesco 7 2016 The Dirichlet problem for singular elliptic equations with general nonlinearities. Zbl 1422.35074De Cicco, Virginia; Giachetti, Daniela; Oliva, Francescantonio; Petitta, Francesco 6 2019 The Dirichlet problem for the 1-Laplacian with a general singular term and \(L^1\)-data. Zbl 1465.35230Latorre, Marta; Oliva, Francescantonio; Petitta, Francesco; Segura de León, Sergio 4 2021 Existence and regularity results for some singular elliptic problems. Zbl 1221.35125Leonori, Tommaso; Petitta, Francesco 4 2007 Nonlinear diffusion in transparent media: the resolvent equation. Zbl 1497.35158Giacomelli, Lorenzo; Moll, Salvador; Petitta, Francesco 4 2018 Large solutions for the elliptic 1-Laplacian with absorption. Zbl 1323.35013Moll, Salvador; Petitta, Francesco 4 2015 Optimal waiting time bounds for some flux-saturated diffusion equations. Zbl 1496.35235Giacomelli, Lorenzo; Moll, Salvador; Petitta, Francesco 3 2017 Quasilinear elliptic equations with singular quadratic growth terms. Zbl 1231.35079Boccardo, Lucio; Leonori, Tommaso; Orsina, Luigi; Petitta, Francesco 3 2011 1-Laplacian type problems with strongly singular nonlinearities and gradient terms. Zbl 1501.35239Giachetti, Daniela; Oliva, Francescantonio; Petitta, Francesco 1 2022 Nonlinear diffusion in transparent media. Zbl 1512.35390Giacomelli, Lorenzo; Moll, Salvador; Petitta, Francesco 1 2023 Nonlinear diffusion in transparent media. Zbl 1512.35390Giacomelli, Lorenzo; Moll, Salvador; Petitta, Francesco 1 2023 1-Laplacian type problems with strongly singular nonlinearities and gradient terms. Zbl 1501.35239Giachetti, Daniela; Oliva, Francescantonio; Petitta, Francesco 1 2022 The Dirichlet problem for the 1-Laplacian with a general singular term and \(L^1\)-data. Zbl 1465.35230Latorre, Marta; Oliva, Francescantonio; Petitta, Francesco; Segura de León, Sergio 4 2021 A nonlinear parabolic problem with singular terms and nonregular data. Zbl 1439.35197Oliva, Francescantonio; Petitta, Francesco 10 2020 The Dirichlet problem for singular elliptic equations with general nonlinearities. Zbl 1422.35074De Cicco, Virginia; Giachetti, Daniela; Oliva, Francescantonio; Petitta, Francesco 6 2019 Finite and infinite energy solutions of singular elliptic problems: existence and uniqueness. Zbl 1380.35101Oliva, Francescantonio; Petitta, Francesco 36 2018 Nonlinear diffusion in transparent media: the resolvent equation. Zbl 1497.35158Giacomelli, Lorenzo; Moll, Salvador; Petitta, Francesco 4 2018 Optimal waiting time bounds for some flux-saturated diffusion equations. Zbl 1496.35235Giacomelli, Lorenzo; Moll, Salvador; Petitta, Francesco 3 2017 On singular elliptic equations with measure sources. Zbl 1337.35060Oliva, Francescantonio; Petitta, Francesco 42 2016 A Lazer-McKenna type problem with measures. Zbl 1349.35120Orsina, Luigi; Petitta, Francesco 21 2016 Some remarks on the duality method for integro-differential equations with measure data. Zbl 1382.35331Petitta, Francesco 11 2016 Existence of solutions for degenerate parabolic equations with singular terms. Zbl 1332.35188Dall’Aglio, Andrea; Orsina, Luigi; Petitta, Francesco 7 2016 On the notion of renormalized solution to nonlinear parabolic equations with general measure data. Zbl 1386.35190Petitta, Francesco; Porretta, Alessio 23 2015 Large solutions for the elliptic 1-Laplacian with absorption. Zbl 1323.35013Moll, Salvador; Petitta, Francesco 4 2015 A priori estimates for elliptic problems with a strongly singular gradient term and a general datum. Zbl 1299.35139Giachetti, Daniela; Petitta, Francesco; Segura de León, Sergio 24 2013 Renormalized solutions of nonlinear parabolic equations with diffuse measure data. Zbl 1270.35274Blanchard, Dominique; Petitta, Francesco; Redwane, Hicham 19 2013 Elliptic equations having a singular quadratic gradient term and a changing sign datum. Zbl 1266.35103Giachetti, Daniela; Petitta, Francesco; Segura De León, Sergio 27 2012 Large solutions for nonlinear parabolic equations without absorption terms. Zbl 1246.35116Moll, Salvador; Petitta, Francesco 9 2012 Diffuse measures and nonlinear parabolic equations. Zbl 1243.35108Petitta, Francesco; Ponce, Augusto C.; Porretta, Alessio 49 2011 A duality approach to the fractional Laplacian with measure data. Zbl 1208.35162Karlsen, Kenneth H.; Petitta, Francesco; Ulusoy, Suleyman 28 2011 Local estimates for parabolic equations with nonlinear gradient terms. Zbl 1223.35094Leonori, Tommaso; Petitta, Francesco 12 2011 Parabolic equations with nonlinear singularities. Zbl 1203.35155Martínez-Aparicio, Pedro J.; Petitta, Francesco 9 2011 Quasilinear elliptic equations with singular quadratic growth terms. Zbl 1231.35079Boccardo, Lucio; Leonori, Tommaso; Orsina, Luigi; Petitta, Francesco 3 2011 Existence and nonexistence of solutions for singular quadratic quasilinear equations. Zbl 1173.35051Arcoya, David; Carmona, José; Leonori, Tommaso; Martínez-Aparicio, Pedro J.; Orsina, Luigi; Petitta, Francesco 58 2009 A non-existence result for nonlinear parabolic equations with singular measures as data. Zbl 1173.35557Petitta, Francesco 12 2009 Renormalized solutions of nonlinear parabolic equations with general measure data. Zbl 1150.35060Petitta, Francesco 73 2008 Approximation of diffuse measures for parabolic capacities. Zbl 1141.35313Petitta, Francesco; Ponce, Augusto C.; Porretta, Alessio 20 2008 Large time behavior for solutions of nonlinear parabolic problems with sign-changing measure data. Zbl 1173.35373Petitta, Francesco 8 2008 Asymptotic behavior of solutions for linear parabolic equations with general measure data. Zbl 1124.35318Petitta, Francesco 24 2007 Asymptotic behavior of solutions for parabolic operators of Leray-Lions type and measure data. Zbl 1152.35323Petitta, Francesco 15 2007 Existence and regularity results for some singular elliptic problems. Zbl 1221.35125Leonori, Tommaso; Petitta, Francesco 4 2007 Asymptotic behavior for solutions of parabolic equations with natural growth terms and irregular data. Zbl 1145.35346Leonori, Tommaso; Petitta, Francesco 14 2006 all cited Publications top 5 cited Publications all top 5 Cited by 266 Authors 20 Petitta, Francesco 17 Redwane, Hicham 15 Klimsiak, Tomasz 13 Oliva, Francescantonio 11 Boccardo, Lucio 10 Martínez-Aparicio, Pedro J. 9 Abdellaoui, Mohammed Amin 9 Carmona Tapia, Jose 9 Leonori, Tommaso 8 El Hadfi, Youssef 8 Rozkosz, Andrzej 7 Marah, Amine 7 Segura de León, Sergio 6 Azroul, Elhoussine 6 Giachetti, Daniela 6 Orsina, Luigi 6 Porretta, Alessio 6 Sciunzi, Berardino 5 Abdellaoui, Boumediene 5 El Ouardy, Mounim 5 Esposito, Francesco 5 Niu, Weisheng 5 Peral Alonso, Ireneo 4 Arcoya, David 4 Buccheri, Stefano 4 Choudhuri, Debajyoti 4 Dall’Aglio, Andrea 4 Durastanti, Riccardo 4 Magliocca, Martina 4 Palatucci, Giampiero 4 Park, Jung-Tae 4 Santos, Carlos Alberto P. 4 Sbai, Abdelaaziz 4 Wu, Yonghong 4 Youssfi, Ahmed 4 Zhang, Xinguang 3 Bayrami-Aminlouee, Masoud 3 Bidaut-Veron, Marie-Françoise 3 Bouajaja, A. 3 Byun, Sun-Sig 3 Canino, Annamaria 3 Chlebicka, Iwona 3 Cirmi, Giuseppa Rita 3 de Cave, Linda Maria 3 De Cicco, Virginia 3 Eljazouli, A. 3 Ghosh, Sekhar 3 Godoy, Tomás F. 3 Guerin, Alfredo J. 3 Gwiazda, Piotr 3 Hesaaraki, Mahmoud 3 López-Martínez, Salvador 3 Molino, Alexis 3 Moll, Salvador 3 Mukminov, Farit Khamzaevich 3 Ould Mohamed Mahmoud, Ghoulam 3 Zhang, Chao 2 Alaa, Noureddine 2 Aouaoui, Sami 2 Aqel, Fatima Al-Zahra’ 2 Blanchard, Dominique 2 Brandolini, Barbara 2 Carvalho, Marcos Leandro 2 Chai, Xiaojuan 2 Chen, Huyuan 2 D’asero, Salvatore 2 di Castro, Agnese 2 El Hichami, Mohamed 2 Garain, Prashanta 2 Abreu Goncalves, Jose Valdo 2 Guarnotta, Umberto 2 Guibé, Olivier 2 Hara, Takanobu 2 Huang, Shuibo 2 Ifzarne, Aziz 2 Liu, Liguang 2 Liu, Lishan 2 Livrea, Roberto 2 Marano, Salvatore Angelo 2 Montoro, Luigi 2 Moreno-Mérida, Lourdes 2 Nguyen, Quoc Hung 2 Ponce, Augusto C. 2 Primo, Ana R. M. 2 Ragnedda, Francesco 2 Ri, Maoji 2 Shin, Pilsoo 2 Suárez, Antonio 2 Tian, Qiaoyu 2 Trombetta, Alessandro 2 Vernier-Piro, Stella 2 Véron, Laurent 2 Vespri, Vincenzo Riccardo 2 Wei, Xiaodan 2 Wiwatanapataphee, Benchawan 2 Zatorska-Goldstein, Anna 2 Zhong, Chengkui 2 Zhou, Shulin 2 Zhou, Wenshu 1 Abatangelo, Nicola ...and 166 more Authors all top 5 Cited in 94 Serials 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Journal of Mathematical Analysis and Applications 13 Journal of Differential Equations 10 Calculus of Variations and Partial Differential Equations 9 NoDEA. Nonlinear Differential Equations and Applications 9 Journal of Evolution Equations 8 Journal of Functional Analysis 8 Journal of Elliptic and Parabolic Equations 6 Advanced Nonlinear Studies 6 Mediterranean Journal of Mathematics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Discrete and Continuous Dynamical Systems 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Communications in Contemporary Mathematics 5 Complex Variables and Elliptic Equations 4 Ricerche di Matematica 4 Applied Mathematics Letters 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 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 Nonlinear Analysis 3 Applicable Analysis 3 Monatshefte für Mathematik 3 Potential Analysis 3 Advances in Operator Theory 3 AIMS Mathematics 2 Journal d’Analyse Mathématique 2 Advances in Mathematics 2 Mathematische Nachrichten 2 Results in Mathematics 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Communications in Partial Differential Equations 2 Topological Methods in Nonlinear Analysis 2 Journal of Mathematical Sciences (New York) 2 Bulletin des Sciences Mathématiques 2 Revista Matemática Complutense 2 Nonlinear Analysis. Modelling and Control 2 Communications on Pure and Applied Analysis 2 Milan Journal of Mathematics 2 Boundary Value Problems 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Analysis and Mathematical Physics 2 Bollettino dell’Unione Matematica Italiana 1 Communications in Mathematical Physics 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 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 Manuscripta Mathematica 1 Le Matematiche 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Bulletin of the Korean Mathematical Society 1 Asymptotic Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 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 Advances in Differential Equations 1 European Journal of Control 1 Abstract and Applied Analysis 1 Journal of the European Mathematical Society (JEMS) 1 Nonlinear Analysis. Real World Applications 1 Mathematical Modelling and Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Analysis and Applications (Singapore) 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Proceedings of the Steklov Institute of Mathematics 1 Communications in Mathematical Analysis 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Journal of Fixed Point Theory and Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Calculus of Variations 1 International Journal of Differential Equations 1 Journal of Mathematical Research with Applications 1 SN Partial Differential Equations and Applications all top 5 Cited in 21 Fields 250 Partial differential equations (35-XX) 19 Functional analysis (46-XX) 15 Operator theory (47-XX) 12 Measure and integration (28-XX) 11 Probability theory and stochastic processes (60-XX) 9 Potential theory (31-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral equations (45-XX) 4 Numerical analysis (65-XX) 4 Biology and other natural sciences (92-XX) 2 Ordinary differential equations (34-XX) 2 Fluid mechanics (76-XX) 2 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-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