Edit Profile (opens in new tab) Martínez-Aparicio, Pedro J. Co-Author Distance Author ID: martinez-aparicio.pedro-j Published as: Martínez-Aparicio, Pedro J. Documents Indexed: 32 Publications since 2007, including 2 Additional arXiv Preprints Co-Authors: 17 Co-Authors with 31 Joint Publications 350 Co-Co-Authors all top 5 Co-Authors 1 single-authored 19 Carmona Tapia, Jose 9 Arcoya, David 6 Giachetti, Daniela 6 Murat, François 4 López-Martínez, Salvador 3 Leonori, Tommaso 3 Petitta, Francesco 3 Rossi, Julio Daniel 2 Aparicio, Antonio J. Martínez 2 Pérez-Llanos, Mayte 2 Suárez, Antonio 1 Barile, Sara 1 Cingolani, Silvia 1 Martínez-Teruel, Miguel 1 Orsina, Luigi 1 Primo, Ana R. M. 1 Vannella, Giuseppina all top 5 Serials 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Differential Equations 2 Communications in Partial Differential Equations 2 Revista Matemática Complutense 2 Advanced Nonlinear Studies 1 Journal of Mathematical Analysis and Applications 1 Journal of Functional Analysis 1 Proceedings of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Communications in Contemporary Mathematics 1 Mathematical Modelling and Analysis 1 Milan Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Bollettino dell’Unione Matematica Italiana. Series IX Fields 31 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 330 times in 167 Documents Cited by ▼ Year ▼ 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 72 2009 A semilinear elliptic equation with a mild singularity at \(u=0\): existence and homogenization. Zbl 1371.35112 Giachetti, Daniela; Martínez-Aparicio, Pedro J.; Murat, François 38 2017 Singular quasilinear equations with quadratic growth in the gradient without sign condition. Zbl 1161.35013 Arcoya, David; Barile, Sara; Martínez-Aparicio, Pedro J. 27 2009 Definition, existence, stability and uniqueness of the solution to a semilinear elliptic problem with a strong singularity at \(u = 0\). Zbl 1407.35076 Giachetti, Daniela; Martínez-Aparicio, Pedro J.; Murat, François 26 2018 A singular semilinear elliptic equation with a variable exponent. Zbl 1343.35119 Carmona, José; Martínez-Aparicio, Pedro J. 20 2016 Quasilinear equations with natural growth. Zbl 1151.35343 Arcoya, David; Martínez-Aparicio, Pedro J. 17 2008 Bifurcation for quasilinear elliptic singular BVP. Zbl 1239.35046 Arcoya, David; Carmona, José; Martínez-Aparicio, Pedro J. 15 2011 Parabolic equations with nonlinear singularities. Zbl 1203.35155 Martínez-Aparicio, Pedro J.; Petitta, Francesco 13 2011 Singular Dirichlet problems with quadratic gradient. Zbl 1206.35132 Martínez-Aparicio, Pedro J. 12 2009 Quasilinear elliptic problems with singular and homogeneous lower order terms. Zbl 1404.35309 Carmona, José; Leonori, Tommaso; López-Martínez, Salvador; Martínez-Aparicio, Pedro J. 10 2019 Homogenization of a Dirichlet semilinear elliptic problem with a strong singularity at \(u=0\) in a domain with many small holes. Zbl 1387.35030 Giachetti, Daniela; Martínez-Aparicio, Pedro J.; Murat, François 9 2018 Elliptic obstacle problems with natural growth on the gradient and singular nonlinear terms. Zbl 1189.35136 Arcoya, David; Carmona, José; Martínez-Aparicio, Pedro J. 8 2007 Regularity and Morse index of the solutions to critical quasilinear elliptic systems. Zbl 1304.35269 Carmona, José; Cingolani, Silvia; Martínez-Aparicio, Pedro J.; Vannella, Giuseppina 8 2013 Gelfand type quasilinear elliptic problems with quadratic gradient terms. Zbl 1300.35044 Arcoya, David; Carmona, José; Martínez-Aparicio, Pedro J. 7 2014 On the definition of the solution to a semilinear elliptic problem with a strong singularity at \(u = 0\). Zbl 1408.35026 Giachetti, Daniela; Martínez-Aparicio, Pedro J.; Murat, François 6 2018 The limit as \(p\rightarrow \infty \) for the eigenvalue problem of the 1-homogeneous \(p\)-Laplacian. Zbl 1284.35203 Martínez-Aparicio, Pedro J.; Pérez-Llanos, Mayte; Rossi, Julio D. 6 2014 Existence and non-existence of positive solutions for nonlinear elliptic singular equations with natural growth. Zbl 1284.35199 Carmona, José; Martínez-Aparicio, Pedro J.; Suárez, Antonio 6 2013 A singular elliptic equation with natural growth in the gradient and a variable exponent. Zbl 1328.35050 Carmona, José; Martínez-Aparicio, Pedro J.; Rossi, Julio D. 5 2015 Advances in the study of singular semilinear elliptic problems. Zbl 1403.35109 Giachetti, Daniela; Martínez-Aparicio, Pedro J.; Murat, François 5 2016 Comparison principle for elliptic equations in divergence with singular lower order terms having natural growth. Zbl 1359.35005 Arcoya, David; Carmona, José; Martínez-Aparicio, Pedro J. 4 2017 Nonlinear elliptic equations with Hardy potential and lower order term with natural growth. Zbl 1217.35084 Leonori, Tommaso; Martínez-Aparicio, Pedro J.; Primo, Ana 3 2011 The sublinear problem for the \(1\)-homogeneous \(p\)-Laplacian. Zbl 1306.35047 Martínez-Aparicio, Pedro J.; Pérez-Llanos, Mayte; Rossi, Julio D. 3 2014 Homogenization of singular quasilinear elliptic problems with natural growth in a domain with many small holes. Zbl 1357.35026 Carmona, José; Martínez-Aparicio, Pedro J. 2 2017 A sub-supersolution method for nonlinear elliptic singular systems with natural growth and some applications. Zbl 1332.35127 Carmona, José; Martínez-Aparicio, Pedro J.; Suárez, Antonio 2 2016 Singular quasilinear elliptic problems with changing sign datum: existence and homogenization. Zbl 1437.35036 Carmona, José; López-Martínez, Salvador; Martínez-Aparicio, Pedro J. 2 2020 Regularizing effect in singular semilinear problems. Zbl 1534.35167 Carmona, José; Aparicio, Antonio J. Martínez; Martínez-Aparicio, Pedro J.; Martínez-Teruel, Miguel 1 2023 Multiplicity of solutions for an elliptic Kirchhoff equation. Zbl 1505.35190 Arcoya, David; Carmona, José; Martínez-Aparicio, Pedro J. 1 2022 A priori estimates for non-coercive Dirichlet problems with subquadratic gradient terms. Zbl 1518.35356 Carmona, José; López-Martínez, Salvador; Martínez-Aparicio, Pedro J. 1 2023 Radial solutions for a Gelfand type quasilinear elliptic problem with quadratic gradient terms. Zbl 1294.35026 Arcoya, David; Carmona, José; Martínez-Aparicio, Pedro J. 1 2013 Regularizing effect in singular semilinear problems. Zbl 1534.35167 Carmona, José; Aparicio, Antonio J. Martínez; Martínez-Aparicio, Pedro J.; Martínez-Teruel, Miguel 1 2023 A priori estimates for non-coercive Dirichlet problems with subquadratic gradient terms. Zbl 1518.35356 Carmona, José; López-Martínez, Salvador; Martínez-Aparicio, Pedro J. 1 2023 Multiplicity of solutions for an elliptic Kirchhoff equation. Zbl 1505.35190 Arcoya, David; Carmona, José; Martínez-Aparicio, Pedro J. 1 2022 Singular quasilinear elliptic problems with changing sign datum: existence and homogenization. Zbl 1437.35036 Carmona, José; López-Martínez, Salvador; Martínez-Aparicio, Pedro J. 2 2020 Quasilinear elliptic problems with singular and homogeneous lower order terms. Zbl 1404.35309 Carmona, José; Leonori, Tommaso; López-Martínez, Salvador; Martínez-Aparicio, Pedro J. 10 2019 Definition, existence, stability and uniqueness of the solution to a semilinear elliptic problem with a strong singularity at \(u = 0\). Zbl 1407.35076 Giachetti, Daniela; Martínez-Aparicio, Pedro J.; Murat, François 26 2018 Homogenization of a Dirichlet semilinear elliptic problem with a strong singularity at \(u=0\) in a domain with many small holes. Zbl 1387.35030 Giachetti, Daniela; Martínez-Aparicio, Pedro J.; Murat, François 9 2018 On the definition of the solution to a semilinear elliptic problem with a strong singularity at \(u = 0\). Zbl 1408.35026 Giachetti, Daniela; Martínez-Aparicio, Pedro J.; Murat, François 6 2018 A semilinear elliptic equation with a mild singularity at \(u=0\): existence and homogenization. Zbl 1371.35112 Giachetti, Daniela; Martínez-Aparicio, Pedro J.; Murat, François 38 2017 Comparison principle for elliptic equations in divergence with singular lower order terms having natural growth. Zbl 1359.35005 Arcoya, David; Carmona, José; Martínez-Aparicio, Pedro J. 4 2017 Homogenization of singular quasilinear elliptic problems with natural growth in a domain with many small holes. Zbl 1357.35026 Carmona, José; Martínez-Aparicio, Pedro J. 2 2017 A singular semilinear elliptic equation with a variable exponent. Zbl 1343.35119 Carmona, José; Martínez-Aparicio, Pedro J. 20 2016 Advances in the study of singular semilinear elliptic problems. Zbl 1403.35109 Giachetti, Daniela; Martínez-Aparicio, Pedro J.; Murat, François 5 2016 A sub-supersolution method for nonlinear elliptic singular systems with natural growth and some applications. Zbl 1332.35127 Carmona, José; Martínez-Aparicio, Pedro J.; Suárez, Antonio 2 2016 A singular elliptic equation with natural growth in the gradient and a variable exponent. Zbl 1328.35050 Carmona, José; Martínez-Aparicio, Pedro J.; Rossi, Julio D. 5 2015 Gelfand type quasilinear elliptic problems with quadratic gradient terms. Zbl 1300.35044 Arcoya, David; Carmona, José; Martínez-Aparicio, Pedro J. 7 2014 The limit as \(p\rightarrow \infty \) for the eigenvalue problem of the 1-homogeneous \(p\)-Laplacian. Zbl 1284.35203 Martínez-Aparicio, Pedro J.; Pérez-Llanos, Mayte; Rossi, Julio D. 6 2014 The sublinear problem for the \(1\)-homogeneous \(p\)-Laplacian. Zbl 1306.35047 Martínez-Aparicio, Pedro J.; Pérez-Llanos, Mayte; Rossi, Julio D. 3 2014 Regularity and Morse index of the solutions to critical quasilinear elliptic systems. Zbl 1304.35269 Carmona, José; Cingolani, Silvia; Martínez-Aparicio, Pedro J.; Vannella, Giuseppina 8 2013 Existence and non-existence of positive solutions for nonlinear elliptic singular equations with natural growth. Zbl 1284.35199 Carmona, José; Martínez-Aparicio, Pedro J.; Suárez, Antonio 6 2013 Radial solutions for a Gelfand type quasilinear elliptic problem with quadratic gradient terms. Zbl 1294.35026 Arcoya, David; Carmona, José; Martínez-Aparicio, Pedro J. 1 2013 Bifurcation for quasilinear elliptic singular BVP. Zbl 1239.35046 Arcoya, David; Carmona, José; Martínez-Aparicio, Pedro J. 15 2011 Parabolic equations with nonlinear singularities. Zbl 1203.35155 Martínez-Aparicio, Pedro J.; Petitta, Francesco 13 2011 Nonlinear elliptic equations with Hardy potential and lower order term with natural growth. Zbl 1217.35084 Leonori, Tommaso; Martínez-Aparicio, Pedro J.; Primo, Ana 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 72 2009 Singular quasilinear equations with quadratic growth in the gradient without sign condition. Zbl 1161.35013 Arcoya, David; Barile, Sara; Martínez-Aparicio, Pedro J. 27 2009 Singular Dirichlet problems with quadratic gradient. Zbl 1206.35132 Martínez-Aparicio, Pedro J. 12 2009 Quasilinear equations with natural growth. Zbl 1151.35343 Arcoya, David; Martínez-Aparicio, Pedro J. 17 2008 Elliptic obstacle problems with natural growth on the gradient and singular nonlinear terms. Zbl 1189.35136 Arcoya, David; Carmona, José; Martínez-Aparicio, Pedro J. 8 2007 all cited Publications top 5 cited Publications all top 5 Cited by 183 Authors 21 Martínez-Aparicio, Pedro J. 16 Carmona Tapia, Jose 11 Oliva, Francescantonio 10 Petitta, Francesco 9 Giachetti, Daniela 8 Arcoya, David 7 Boccardo, Lucio 6 Cowan, Craig 6 Orsina, Luigi 5 López-Martínez, Salvador 5 Murat, François 4 Aghajani, Asadollah 4 De Bonis, Ida 4 Durastanti, Riccardo 4 El Hadfi, Youssef 4 Garain, Prashanta 4 Leonori, Tommaso 4 Marah, Amine 4 Molino, Alexis 4 Redwane, Hicham 4 Segura de León, Sergio 3 Aouaoui, Sami 3 Benrhouma, Mohamed 3 Cirmi, Giuseppa Rita 3 D’asero, Salvatore 3 Donato, Patrizia 3 Esposito, Francesco 3 Khelifi, Hichem 3 Livrea, Roberto 3 Razani, Abdolrahman 3 Rossi, Julio Daniel 3 Trombetta, Alessandro 2 Alaa, Noureddine 2 Aqel, Fatima Al-Zahra’ 2 Bouhlal, Aziz 2 Brandolini, Barbara 2 Buccheri, Stefano 2 Charkaoui, Abderrahim 2 Choudhuri, Debajyoti 2 Chu, Ying 2 Cingolani, Silvia 2 de Cave, Linda Maria 2 De Cicco, Virginia 2 El Ouardy, Mounim 2 Ghosh, Sekhar 2 Guarnotta, Umberto 2 Hamour, Boussad 2 Hara, Takanobu 2 Igbida, Jaouad 2 Kawohl, Bernd 2 Leonardi, Salvatore 2 Liu, Fang 2 Lui, Shiu Hong 2 Marano, Salvatore Angelo 2 Matzeu, Michele 2 Monsurrò, Sara 2 Moreno-Mérida, Lourdes 2 Mukherjee, Tuhina 2 Papageorgiou, Nikolaos S. 2 Pereira, Marcone Corrêa 2 Porzio, Maria Michaela 2 Rădulescu, Vicenţiu D. 2 Raimondi, Federica 2 Sbai, Abdelaaziz 2 Sciunzi, Berardino 2 Servadei, Raffaella 2 Souilah, Rezak 2 Suárez, Antonio 2 Taourirte, Laila 2 Vannella, Giuseppina 2 Wei, Xiaodan 2 Zhou, Wenshu 1 Abdellaoui, Mohammed Amin 1 Aizicovici, Sergiu 1 Alves, Claudianor Oliveira 1 Amar, Micol 1 Amine, Marah 1 Aparicio, Antonio J. Martínez 1 Ayadi, Hocine 1 Azroul, Elhoussine 1 Bahrouni, Ala Eddine 1 Bal, Kaushik 1 Barile, Sara 1 Ben Boubaker, Mohamed Amine 1 Benci, Vieri 1 Biroud, Kheireddine 1 Blanc, Pablo 1 Borgia, Natalino 1 Bouhal, Abdellatif 1 Candito, Pasquale 1 Casado-Díaz, Juan 1 Chata, Juan Carlos Ortiz 1 Chiacchio, Francesco 1 Cianci, Paolo 1 Cîrstea, Florica-Corina Şt. 1 Sobreira de Araujo Corrêa, Francisco Julio 1 Crasta, Graziano 1 Cupini, Giovanni 1 Dall’Aglio, Andrea 1 de Oliveira Sousa, Nadiel ...and 83 more Authors all top 5 Cited in 74 Serials 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Journal of Differential Equations 9 Journal of Mathematical Analysis and Applications 8 NoDEA. Nonlinear Differential Equations and Applications 6 Calculus of Variations and Partial Differential Equations 6 Mediterranean Journal of Mathematics 5 Advanced Nonlinear Studies 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Ricerche di Matematica 4 Discrete and Continuous Dynamical Systems 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Advances in Nonlinear Analysis 3 Mathematical Methods in the Applied Sciences 3 Communications in Contemporary Mathematics 3 Journal of Elliptic and Parabolic Equations 2 Applicable Analysis 2 Mathematische Nachrichten 2 Results in Mathematics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 SIAM Journal on Mathematical Analysis 2 Advances in Differential Equations 2 Revista Matemática Complutense 2 Mathematical Modelling and Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Communications on Pure and Applied Analysis 2 Journal of Fixed Point Theory and Applications 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Pseudo-Differential Operators and Applications 2 Analysis and Mathematical Physics 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Applied Mathematics and Optimization 1 Demonstratio Mathematica 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Functional Analysis 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 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Note di Matematica 1 Applied Mathematics Letters 1 Publicacions Matemàtiques 1 Forum Mathematicum 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Mathematica Bohemica 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Potential Analysis 1 Computational and Applied Mathematics 1 Georgian Mathematical Journal 1 Opuscula Mathematica 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Arab Journal of Mathematical Sciences 1 Qualitative Theory of Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Hacettepe Journal of Mathematics and Statistics 1 Boundary Value Problems 1 Complex Variables and Elliptic Equations 1 Communications in Mathematical Analysis 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Advances in Calculus of Variations 1 International Journal of Differential Equations 1 Journal of Function Spaces 1 Moroccan Journal of Pure and Applied Analysis 1 Advances in Operator Theory 1 Bollettino dell’Unione Matematica Italiana 1 AIMS Mathematics all top 5 Cited in 13 Fields 165 Partial differential equations (35-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) Citations by Year