Existence and nonexistence of solutions for singular quadratic quasilinear equations D Arcoya, J Carmona, T Leonori, PJ Martínez-Aparicio, L Orsina, F Petitta
Journal of Differential Equations 246 (10), 4006-4042, 2009
133 2009 Singular quasilinear equations with quadratic growth in the gradient without sign condition D Arcoya, S Barile, PJ Martínez-Aparicio
Journal of mathematical analysis and applications 350 (1), 401-408, 2009
65 2009 A semilinear elliptic equation with a mild singularity at u= 0: existence and homogenization D Giachetti, PJ Martínez-Aparicio, F Murat
Journal de Mathématiques Pures et Appliquées 107 (1), 41-77, 2017
62 2017 Quasilinear equations with natural growth D Arcoya, PJ Martínez-Aparicio
59 2008 Definition, existence, stability and uniqueness of the solution to a semilinear elliptic problem with a strong singularity at D Giachetti, PJ Martínez-Aparicio, F Murat
arXiv preprint arXiv:1606.07267, 2016
47 2016 A singular semilinear elliptic equation with a variable exponent J Carmona, PJ Martínez-Aparicio
Advanced Nonlinear Studies 16 (3), 491-498, 2016
41 2016 Elliptic Obstacle Problems With Natural Growth on the Gradient and Singular Nonlinear Term D Arcoya, J Carmona, PJ Martínez-Aparicio
Advanced Nonlinear Studies 7 (2), 299-317, 2007
37 2007 Parabolic equations with nonlinear singularities PJ Martínez-Aparicio, F Petitta
Nonlinear Analysis: Theory, Methods & Applications 74 (1), 114-131, 2011
31 2011 Bifurcation for quasilinear elliptic singular BVP D Arcoya, J Carmona, PJ Martínez-Aparicio
Communications in Partial Differential Equations 36 (4), 670-692, 2011
29 2011 Singular Dirichlet problems with quadratic gradient PJ Martínez-Aparicio
Boll. Unione Mat. Ital 2, 559-574, 2009
25 2009 Quasilinear elliptic problems with singular and homogeneous lower order terms J Carmona, T Leonori, S López-Martínez, PJ Martínez-Aparicio
Nonlinear Analysis 179, 105-130, 2019
20 2019 Existence and non-existence of positive solutions for nonlinear elliptic singular equations with natural growth J Carmona, PJ Martínez-Aparicio, A Suárez
Nonlinear Analysis: Theory, Methods & Applications 89, 157-169, 2013
20 2013 Homogenization of a Dirichlet semilinear elliptic problem with a strong singularity at u= 0 in a domain with many small holes D Giachetti, PJ Martinez-Aparicio, F Murat
Journal of Functional Analysis 274 (6), 1747-1789, 2018
17 2018 Comparison principle for elliptic equations in divergence with singular lower order terms having natural growth D Arcoya, J Carmona, PJ Martínez-Aparicio
Communications in Contemporary Mathematics 19 (02), 1650013, 2017
17 2017 Gelfand type quasilinear elliptic problems with quadratic gradient terms D Arcoya, J Carmona, PJ Martínez-Aparicio
Annales de l'IHP Analyse non linéaire 31 (2), 249-265, 2014
16 2014 On the definition of the solution to a semilinear elliptic problem with a strong singularity at u= 0 D Giachetti, PJ Martínez-Aparicio, F Murat
Nonlinear Analysis 177, 491-523, 2018
11 2018 A singular elliptic equation with natural growth in the gradient and a variable exponent J Carmona, PJ Martínez-Aparicio, JD Rossi
Nonlinear Differential Equations and Applications NoDEA 22, 1935-1948, 2015
11 2015 The limit as for the eigenvalue problem of the 1-homogeneous-Laplacian PJ Martínez-Aparicio, M Pérez-Llanos, JD Rossi
Revista matemática complutense 27 (1), 241-258, 2014
10 2014 Regularity and Morse index of the solutions to critical quasilinear elliptic systems J Carmona, S Cingolani, PJ Martínez-Aparicio, G Vannella
Communications in Partial Differential Equations 38 (10), 1675-1711, 2013
10 2013 Quadratic quasilinear equations with general singularities D Arcoya, J Carmona, T Leonori, PJ Martínez-Aparicio, L Orsina, F Petitta
Centro de Matemática da Universidade de Coimbra, 2008
10 2008 