## Petitta, Francesco

Compute Distance To:
 Author ID: petitta.francesco Published as: Petitta, Francesco; Petitta, F. External Links: MGP
 Documents Indexed: 34 Publications since 2006 Co-Authors: 21 Co-Authors with 25 Joint Publications 372 Co-Co-Authors
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### Co-Authors

 9 single-authored 5 Leonori, Tommaso 5 Oliva, Francescantonio 4 Giachetti, Daniela 4 Moll, Salvador 4 Orsina, Luigi 4 Segura de León, Sergio 3 Porretta, Alessio 2 Giacomelli, Lorenzo 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
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### 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 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 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 Communications in Contemporary Mathematics 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
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### Fields

 34 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 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX)

### Citations contained in zbMATH Open

30 Publications have been cited 484 times in 217 Documents Cited by Year
Renormalized solutions of nonlinear parabolic equations with general measure data. Zbl 1150.35060
Petitta, Francesco
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
2009
Diffuse measures and nonlinear parabolic equations. Zbl 1243.35108
Petitta, Francesco; Ponce, Augusto C.; Porretta, Alessio
2011
On singular elliptic equations with measure sources. Zbl 1337.35060
Oliva, Francescantonio; Petitta, Francesco
2016
A duality approach to the fractional Laplacian with measure data. Zbl 1208.35162
Karlsen, Kenneth H.; Petitta, Francesco; Ulusoy, Suleyman
2011
Asymptotic behavior of solutions for linear parabolic equations with general measure data. Zbl 1124.35318
Petitta, Francesco
2007
Elliptic equations having a singular quadratic gradient term and a changing sign datum. Zbl 1266.35103
Giachetti, Daniela; Petitta, Francesco; Segura De León, Sergio
2012
Finite and infinite energy solutions of singular elliptic problems: existence and uniqueness. Zbl 1380.35101
Oliva, Francescantonio; Petitta, Francesco
2018
On the notion of renormalized solution to nonlinear parabolic equations with general measure data. Zbl 1386.35190
Petitta, Francesco; Porretta, Alessio
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
2013
Renormalized solutions of nonlinear parabolic equations with diffuse measure data. Zbl 1270.35274
Blanchard, Dominique; Petitta, Francesco; Redwane, Hicham
2013
A Lazer-McKenna type problem with measures. Zbl 1349.35120
Orsina, Luigi; Petitta, Francesco
2016
Approximation of diffuse measures for parabolic capacities. Zbl 1141.35313
Petitta, Francesco; Ponce, Augusto C.; Porretta, Alessio
2008
Asymptotic behavior of solutions for parabolic operators of Leray-Lions type and measure data. Zbl 1152.35323
Petitta, Francesco
2007
Asymptotic behavior for solutions of parabolic equations with natural growth terms and irregular data. Zbl 1145.35346
Leonori, Tommaso; Petitta, Francesco
2006
A non-existence result for nonlinear parabolic equations with singular measures as data. Zbl 1173.35557
Petitta, Francesco
2009
Local estimates for parabolic equations with nonlinear gradient terms. Zbl 1223.35094
Leonori, Tommaso; Petitta, Francesco
2011
Some remarks on the duality method for integro-differential equations with measure data. Zbl 1382.35331
Petitta, Francesco
2016
Parabolic equations with nonlinear singularities. Zbl 1203.35155
Martínez-Aparicio, Pedro J.; Petitta, Francesco
2011
Large time behavior for solutions of nonlinear parabolic problems with sign-changing measure data. Zbl 1173.35373
Petitta, Francesco
2008
Large solutions for nonlinear parabolic equations without absorption terms. Zbl 1246.35116
Moll, Salvador; Petitta, Francesco
2012
A nonlinear parabolic problem with singular terms and nonregular data. Zbl 1439.35197
Oliva, Francescantonio; Petitta, Francesco
2020
Existence of solutions for degenerate parabolic equations with singular terms. Zbl 1332.35188
Dall’Aglio, Andrea; Orsina, Luigi; Petitta, Francesco
2016
Existence and regularity results for some singular elliptic problems. Zbl 1221.35125
Leonori, Tommaso; Petitta, Francesco
2007
Nonlinear diffusion in transparent media: the resolvent equation. Zbl 06951088
Giacomelli, Lorenzo; Moll, Salvador; Petitta, Francesco
2018
Quasilinear elliptic equations with singular quadratic growth terms. Zbl 1231.35079
Boccardo, Lucio; Leonori, Tommaso; Orsina, Luigi; Petitta, Francesco
2011
The Dirichlet problem for singular elliptic equations with general nonlinearities. Zbl 1422.35074
De Cicco, Virginia; Giachetti, Daniela; Oliva, Francescantonio; Petitta, Francesco
2019
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
2021
Optimal waiting time bounds for some flux-saturated diffusion equations. Zbl 06803164
Giacomelli, Lorenzo; Moll, Salvador; Petitta, Francesco
2017
Large solutions for the elliptic 1-Laplacian with absorption. Zbl 1323.35013
Moll, Salvador; Petitta, Francesco
2015
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
2021
A nonlinear parabolic problem with singular terms and nonregular data. Zbl 1439.35197
Oliva, Francescantonio; Petitta, Francesco
2020
The Dirichlet problem for singular elliptic equations with general nonlinearities. Zbl 1422.35074
De Cicco, Virginia; Giachetti, Daniela; Oliva, Francescantonio; Petitta, Francesco
2019
Finite and infinite energy solutions of singular elliptic problems: existence and uniqueness. Zbl 1380.35101
Oliva, Francescantonio; Petitta, Francesco
2018
Nonlinear diffusion in transparent media: the resolvent equation. Zbl 06951088
Giacomelli, Lorenzo; Moll, Salvador; Petitta, Francesco
2018
Optimal waiting time bounds for some flux-saturated diffusion equations. Zbl 06803164
Giacomelli, Lorenzo; Moll, Salvador; Petitta, Francesco
2017
On singular elliptic equations with measure sources. Zbl 1337.35060
Oliva, Francescantonio; Petitta, Francesco
2016
A Lazer-McKenna type problem with measures. Zbl 1349.35120
Orsina, Luigi; Petitta, Francesco
2016
Some remarks on the duality method for integro-differential equations with measure data. Zbl 1382.35331
Petitta, Francesco
2016
Existence of solutions for degenerate parabolic equations with singular terms. Zbl 1332.35188
Dall&rsquo;Aglio, Andrea; Orsina, Luigi; Petitta, Francesco
2016
On the notion of renormalized solution to nonlinear parabolic equations with general measure data. Zbl 1386.35190
Petitta, Francesco; Porretta, Alessio
2015
Large solutions for the elliptic 1-Laplacian with absorption. Zbl 1323.35013
Moll, Salvador; Petitta, Francesco
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
2013
Renormalized solutions of nonlinear parabolic equations with diffuse measure data. Zbl 1270.35274
Blanchard, Dominique; Petitta, Francesco; Redwane, Hicham
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
2012
Large solutions for nonlinear parabolic equations without absorption terms. Zbl 1246.35116
Moll, Salvador; Petitta, Francesco
2012
Diffuse measures and nonlinear parabolic equations. Zbl 1243.35108
Petitta, Francesco; Ponce, Augusto C.; Porretta, Alessio
2011
A duality approach to the fractional Laplacian with measure data. Zbl 1208.35162
Karlsen, Kenneth H.; Petitta, Francesco; Ulusoy, Suleyman
2011
Local estimates for parabolic equations with nonlinear gradient terms. Zbl 1223.35094
Leonori, Tommaso; Petitta, Francesco
2011
Parabolic equations with nonlinear singularities. Zbl 1203.35155
Martínez-Aparicio, Pedro J.; Petitta, Francesco
2011
Quasilinear elliptic equations with singular quadratic growth terms. Zbl 1231.35079
Boccardo, Lucio; Leonori, Tommaso; Orsina, Luigi; Petitta, Francesco
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
2009
A non-existence result for nonlinear parabolic equations with singular measures as data. Zbl 1173.35557
Petitta, Francesco
2009
Renormalized solutions of nonlinear parabolic equations with general measure data. Zbl 1150.35060
Petitta, Francesco
2008
Approximation of diffuse measures for parabolic capacities. Zbl 1141.35313
Petitta, Francesco; Ponce, Augusto C.; Porretta, Alessio
2008
Large time behavior for solutions of nonlinear parabolic problems with sign-changing measure data. Zbl 1173.35373
Petitta, Francesco
2008
Asymptotic behavior of solutions for linear parabolic equations with general measure data. Zbl 1124.35318
Petitta, Francesco
2007
Asymptotic behavior of solutions for parabolic operators of Leray-Lions type and measure data. Zbl 1152.35323
Petitta, Francesco
2007
Existence and regularity results for some singular elliptic problems. Zbl 1221.35125
Leonori, Tommaso; Petitta, Francesco
2007
Asymptotic behavior for solutions of parabolic equations with natural growth terms and irregular data. Zbl 1145.35346
Leonori, Tommaso; Petitta, Francesco
2006
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### Cited by 236 Authors

 19 Petitta, Francesco 15 Klimsiak, Tomasz 13 Redwane, Hicham 12 Oliva, Francescantonio 10 Boccardo, Lucio 10 Martínez-Aparicio, Pedro J. 9 Carmona Tapia, Jose 9 Leonori, Tommaso 8 Rozkosz, Andrzej 6 Abdellaoui, Mohammed Amin 6 Marah, Amine 6 Orsina, Luigi 6 Porretta, Alessio 6 Segura de León, Sergio 5 Azroul, Elhoussine 5 Niu, Weisheng 5 Peral Alonso, Ireneo 5 Sciunzi, Berardino 4 Abdellaoui, Boumediene 4 Arcoya, David 4 Dall’Aglio, Andrea 4 Esposito, Francesco 4 Giachetti, Daniela 4 Magliocca, Martina 4 Palatucci, Giampiero 3 Bayrami-Aminlouee, Masoud 3 Bidaut-Veron, Marie-Françoise 3 Bouajaja, A. 3 Buccheri, Stefano 3 Byun, Sun-Sig 3 Canino, Annamaria 3 Chlebicka, Iwona 3 Choudhuri, Debajyoti 3 Cirmi, Giuseppa Rita 3 de Cave, Linda Maria 3 Durastanti, Riccardo 3 El Hadfi, Youssef 3 El Ouardy, Mounim 3 Gwiazda, Piotr 3 Hesaaraki, Mahmoud 3 López-Martínez, Salvador 3 Molino, Alexis 3 Moll, Salvador 3 Mukminov, Farit Khamzaevich 3 Park, Jung-Tae 3 Santos, Carlos Alberto P. 3 Wu, Yonghong 3 Zhang, Chao 3 Zhang, Xinguang 2 Aouaoui, Sami 2 Blanchard, Dominique 2 Carvalho, Marcos Leandro 2 Chai, Xiaojuan 2 Chen, Huyuan 2 D’asero, Salvatore 2 De Cicco, Virginia 2 di Castro, Agnese 2 Eljazouli, A. 2 Ghosh, Sekhar 2 Godoy, Tomás F. 2 Abreu Goncalves, Jose Valdo 2 Guerin, Alfredo J. 2 Guibé, Olivier 2 Liu, Liguang 2 Liu, Lishan 2 Montoro, Luigi 2 Moreno-Mérida, Lourdes 2 Nguyen, Quoc Hung 2 Ponce, Augusto C. 2 Primo, Ana R. M. 2 Ragnedda, Francesco 2 Sbai, Abdelaaziz 2 Shin, Pilsoo 2 Suárez, Antonio 2 Vernier-Piro, Stella 2 Véron, Laurent 2 Vespri, Vincenzo Riccardo 2 Wei, Xiaodan 2 Youssfi, Ahmed 2 Zatorska-Goldstein, Anna 2 Zhong, Chengkui 2 Zhou, Shulin 2 Zhou, Wenshu 1 Abatangelo, Nicola 1 Aghajani, Asadollah 1 Alaa, Noureddine 1 Alibaud, Nathaël 1 Alvarez-Vázquez, Lino Jose 1 Alves, Claudianor Oliveira 1 Amine, Marah 1 Andreianov, Boris 1 Aqel, Fatima Al-Zahra’ 1 Ariche, S. 1 Attar, Ahmed 1 Avelin, Benny 1 Bal, Kaushik 1 Baroni, Paolo 1 Bendahmane, Mostafa 1 Bennouna, Jaouad 1 Benrhouma, Mohamed ...and 136 more Authors
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### Cited in 74 Serials

 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Journal of Differential Equations 11 Journal of Mathematical Analysis and Applications 9 Calculus of Variations and Partial Differential Equations 9 Journal of Evolution Equations 8 Journal of Functional Analysis 8 NoDEA. Nonlinear Differential Equations and Applications 7 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 4 Communications in Contemporary Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 S$$\vec{\text{e}}$$MA Journal 4 Advances in Nonlinear Analysis 3 Applicable Analysis 3 Monatshefte für Mathematik 3 Ricerche di Matematica 3 Potential Analysis 3 Complex Variables and Elliptic Equations 3 Journal of Nonlinear Evolution Equations and Applications 3 Advances in Operator Theory 2 Journal d’Analyse Mathématique 2 Advances in Mathematics 2 Applied Mathematics Letters 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 Journal of Pseudo-Differential Operators and Applications 2 Bollettino dell’Unione Matematica Italiana 1 Communications in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Studia Mathematica 1 The Journal of the Indian Mathematical Society. New Series 1 Manuscripta Mathematica 1 Le Matematiche 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Bulletin of the Korean Mathematical Society 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Stochastic Processes and their Applications 1 Journal of Dynamics and Differential Equations 1 Indagationes Mathematicae. New Series 1 Electronic Journal of Differential Equations (EJDE) 1 Advances in Differential Equations 1 European Journal of Control 1 Abstract and Applied Analysis 1 Journal of the European Mathematical Society (JEMS) 1 Mathematical Modelling and Analysis 1 Discrete and Continuous Dynamical Systems. Series B 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 Journal of Fixed Point Theory and Applications 1 Advances in Calculus of Variations 1 International Journal of Differential Equations 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 AIMS Mathematics 1 SN Partial Differential Equations and Applications
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### Cited in 19 Fields

 206 Partial differential equations (35-XX) 19 Functional analysis (46-XX) 15 Operator theory (47-XX) 11 Probability theory and stochastic processes (60-XX) 9 Measure and integration (28-XX) 7 Potential theory (31-XX) 6 Several complex variables and analytic spaces (32-XX) 4 Integral equations (45-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Biology and other natural sciences (92-XX) 3 Numerical analysis (65-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)