# zbMATH — the first resource for mathematics

## Montoro, Luigi

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 Author ID: montoro.luigi Published as: Montoro, L.; Montoro, Luigi External Links: MGP · Wikidata
 Documents Indexed: 32 Publications since 2008
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#### Co-Authors

 3 single-authored 17 Sciunzi, Berardino 6 Merchán, Susana 6 Peral Alonso, Ireneo 4 Farina, Alberto 4 Sciunzi, Bernardino 4 Squassina, Marco 3 Barrios Barrera, Begoña 3 Canino, Annamaria 3 Garcia-Azorero, Jesús 2 Charro, Fernando 2 Malchiodi, Andrea 2 Punzo, Fabio 2 Riey, Giuseppe 1 Abdellaoui, Boumediene 1 Aguilar, Juan Antonio 1 Bhakta, Mousomi 1 Biswas, Anup 1 Colorado, Eduardo 1 Cucumo, M. 1 Cucumo, S. 1 Damascelli, Lucio 1 Dipierro, Serena 1 Esposito, Francesco 1 Ganguly, Debdip 1 Medina, Maria 1 Primo, Ana R. M. 1 Soria, Fernando 1 Vulcano, A.
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#### Serials

 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Advanced Nonlinear Studies 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Calculus of Variations and Partial Differential Equations 2 Communications on Pure and Applied Analysis 1 Archive for Rational Mechanics and Analysis 1 International Journal of Heat and Mass Transfer 1 Journal d’Analyse Mathématique 1 Advances in Mathematics 1 Mathematische Annalen 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bulletin des Sciences Mathématiques 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 S$$\vec{\text{e}}$$MA Journal 1 Advances in Nonlinear Analysis
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#### Fields

 31 Partial differential equations (35-XX) 3 Probability theory and stochastic processes (60-XX) 2 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH

24 Publications have been cited 183 times in 127 Documents Cited by Year
Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential. Zbl 1361.35191
Dipierro, Serena; Montoro, Luigi; Peral, Ireneo; Sciunzi, Bernardino
2016
Radial symmetry and applications for a problem involving the $$-\Delta_p(\cdot)$$ operator and critical nonlinearity in $$\mathbb{R}^N$$. Zbl 1316.35135
Damascelli, Lucio; Merchán, Susana; Montoro, Luigi; Sciunzi, Berardino
2014
On the moving plane method for nonlocal problems in bounded domains. Zbl 1394.35545
Barrios, Begoña; Montoro, Luigi; Sciunzi, Berardino
2018
The moving plane method for singular semilinear elliptic problems. Zbl 1378.35132
Canino, Annamaria; Montoro, Luigi; Sciunzi, Berardino
2017
Monotonicity and one-dimensional symmetry for solutions of $$-\Delta_{p}u = f(u)$$ in half-spaces. Zbl 1246.35053
Farina, Alberto; Montoro, Luigi; Sciunzi, Berardino
2012
Monotonicity of solutions of quasilinear degenerate elliptic equation in half-spaces. Zbl 1287.35037
Farina, Alberto; Montoro, Luigi; Sciunzi, Berardino
2013
Concentration of solutions for some singularly perturbed mixed problems: asymptotics of minimal energy solutions. Zbl 1194.35037
Azorero, Jesus Garcia; Malchiodi, Andrea; Montoro, Luigi; Peral, Ireneo
2010
Concentration of solutions for some singularly perturbed mixed problems: existence results. Zbl 1214.35024
Azorero, Jesus Garcia; Malchiodi, Andrea; Montoro, Luigi; Peral, Ireneo
2010
Nonlocal problems with singular nonlinearity. Zbl 1364.35417
Canino, Annamaria; Montoro, Luigi; Sciunzi, Berardino; Squassina, Marco
2017
Existence and qualitative properties of solutions to a quasilinear elliptic equation involving the Hardy-Leray potential. Zbl 1291.35082
Merchán, Susana; Montoro, Luigi; Peral, Ireneo; Sciunzi, Berardino
2014
Monotonicity of solutions of fully nonlinear uniformly elliptic equations in the half-plane. Zbl 1225.35086
Charro, F.; Montoro, L.; Sciunzi, B.
2011
Monotonicity of solutions to quasilinear problems with a first-order term in half-spaces. Zbl 1319.35051
Farina, Alberto; Montoro, Luigi; Riey, Giuseppe; Sciunzi, Berardino
2015
Asymptotic symmetry for a class of quasi-linear parabolic problems. Zbl 1253.35009
Montoro, Luigi; Sciunzi, Berardino; Squassina, Marco
2010
Qualitative properties of singular solutions to nonlocal problems. Zbl 1391.35384
Montoro, Luigi; Punzo, Fabio; Sciunzi, Berardino
2018
Qualitative properties of positive solutions to systems of quasilinear elliptic equations. Zbl 1325.35066
Montoro, Luigi; Riey, Giuseppe; Sciunzi, Berardino
2015
Remarks on the existence of solutions to some quasilinear elliptic problems involving the Hardy-Leray potential. Zbl 1295.35205
Merchán, Susana; Montoro, Luigi
2014
Symmetry results for the $$p(x)$$-Laplacian equation. Zbl 1273.31008
Montoro, Luigi; Sciunzi, Berardino; Squassina, Marco
2013
On the shape of the least-energy solutions to some singularly perturbed mixed problems. Zbl 1207.35038
Montoro, Luigi
2010
Monotonicity and symmetry of singular solutions to quasilinear problems. Zbl 1418.35199
Esposito, Francesco; Montoro, Luigi; Sciunzi, Berardino
2019
Monotonicity in half-spaces of positive solutions to $$-\Delta_p u = f(u)$$ in the case $$p > 2$$. Zbl 1391.35164
Farina, Alberto; Montoro, Luigi; Sciunzi, Bernardino
2017
Optimal reaction exponent for some qualitative properties of solutions to the $$p$$-heat equation. Zbl 1321.35095
Merchán, Susana; Montoro, Luigi; Peral, I.
2015
On the Harnack inequality for quasilinear elliptic equations with a first-order term. Zbl 1409.35093
Merchán, Susana; Montoro, Luigi; Sciunzi, Berardino
2018
On the numerical computation of mountain pass solutions to some perturbed semi-linear elliptic problem. Zbl 1242.65240
Montoro, Luigi
2011
Symmetry results for nonvariational quasi-linear elliptic systems. Zbl 1227.35036
Montoro, Luigi; Sciunzi, Berardino; Squassina, Marco
2010
Monotonicity and symmetry of singular solutions to quasilinear problems. Zbl 1418.35199
Esposito, Francesco; Montoro, Luigi; Sciunzi, Berardino
2019
On the moving plane method for nonlocal problems in bounded domains. Zbl 1394.35545
Barrios, Begoña; Montoro, Luigi; Sciunzi, Berardino
2018
Qualitative properties of singular solutions to nonlocal problems. Zbl 1391.35384
Montoro, Luigi; Punzo, Fabio; Sciunzi, Berardino
2018
On the Harnack inequality for quasilinear elliptic equations with a first-order term. Zbl 1409.35093
Merchán, Susana; Montoro, Luigi; Sciunzi, Berardino
2018
The moving plane method for singular semilinear elliptic problems. Zbl 1378.35132
Canino, Annamaria; Montoro, Luigi; Sciunzi, Berardino
2017
Nonlocal problems with singular nonlinearity. Zbl 1364.35417
Canino, Annamaria; Montoro, Luigi; Sciunzi, Berardino; Squassina, Marco
2017
Monotonicity in half-spaces of positive solutions to $$-\Delta_p u = f(u)$$ in the case $$p > 2$$. Zbl 1391.35164
Farina, Alberto; Montoro, Luigi; Sciunzi, Bernardino
2017
Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential. Zbl 1361.35191
Dipierro, Serena; Montoro, Luigi; Peral, Ireneo; Sciunzi, Bernardino
2016
Monotonicity of solutions to quasilinear problems with a first-order term in half-spaces. Zbl 1319.35051
Farina, Alberto; Montoro, Luigi; Riey, Giuseppe; Sciunzi, Berardino
2015
Qualitative properties of positive solutions to systems of quasilinear elliptic equations. Zbl 1325.35066
Montoro, Luigi; Riey, Giuseppe; Sciunzi, Berardino
2015
Optimal reaction exponent for some qualitative properties of solutions to the $$p$$-heat equation. Zbl 1321.35095
Merchán, Susana; Montoro, Luigi; Peral, I.
2015
Radial symmetry and applications for a problem involving the $$-\Delta_p(\cdot)$$ operator and critical nonlinearity in $$\mathbb{R}^N$$. Zbl 1316.35135
Damascelli, Lucio; Merchán, Susana; Montoro, Luigi; Sciunzi, Berardino
2014
Existence and qualitative properties of solutions to a quasilinear elliptic equation involving the Hardy-Leray potential. Zbl 1291.35082
Merchán, Susana; Montoro, Luigi; Peral, Ireneo; Sciunzi, Berardino
2014
Remarks on the existence of solutions to some quasilinear elliptic problems involving the Hardy-Leray potential. Zbl 1295.35205
Merchán, Susana; Montoro, Luigi
2014
Monotonicity of solutions of quasilinear degenerate elliptic equation in half-spaces. Zbl 1287.35037
Farina, Alberto; Montoro, Luigi; Sciunzi, Berardino
2013
Symmetry results for the $$p(x)$$-Laplacian equation. Zbl 1273.31008
Montoro, Luigi; Sciunzi, Berardino; Squassina, Marco
2013
Monotonicity and one-dimensional symmetry for solutions of $$-\Delta_{p}u = f(u)$$ in half-spaces. Zbl 1246.35053
Farina, Alberto; Montoro, Luigi; Sciunzi, Berardino
2012
Monotonicity of solutions of fully nonlinear uniformly elliptic equations in the half-plane. Zbl 1225.35086
Charro, F.; Montoro, L.; Sciunzi, B.
2011
On the numerical computation of mountain pass solutions to some perturbed semi-linear elliptic problem. Zbl 1242.65240
Montoro, Luigi
2011
Concentration of solutions for some singularly perturbed mixed problems: asymptotics of minimal energy solutions. Zbl 1194.35037
Azorero, Jesus Garcia; Malchiodi, Andrea; Montoro, Luigi; Peral, Ireneo
2010
Concentration of solutions for some singularly perturbed mixed problems: existence results. Zbl 1214.35024
Azorero, Jesus Garcia; Malchiodi, Andrea; Montoro, Luigi; Peral, Ireneo
2010
Asymptotic symmetry for a class of quasi-linear parabolic problems. Zbl 1253.35009
Montoro, Luigi; Sciunzi, Berardino; Squassina, Marco
2010
On the shape of the least-energy solutions to some singularly perturbed mixed problems. Zbl 1207.35038
Montoro, Luigi
2010
Symmetry results for nonvariational quasi-linear elliptic systems. Zbl 1227.35036
Montoro, Luigi; Sciunzi, Berardino; Squassina, Marco
2010
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#### Cited by 186 Authors

 23 Sciunzi, Berardino 17 Montoro, Luigi 6 Farina, Alberto 6 Peral Alonso, Ireneo 6 Squassina, Marco 5 Esposito, Francesco 4 Abdellaoui, Boumediene 4 Barrios Barrera, Begoña 4 Canino, Annamaria 4 Dipierro, Serena 4 Riey, Giuseppe 3 Choudhuri, Debajyoti 3 Fiscella, Alessio 3 Garcia-Azorero, Jesús 3 Ghosh, Sekhar 3 Merchán, Susana 3 Oliva, Francescantonio 3 Salieva, Olga Alekseevna 3 Valdinoci, Enrico 2 Bal, Kaushik 2 Bhakta, Mousomi 2 Bonanno, Gabriele 2 Cai, Miaomiao 2 Carvalho, Marcos Leandro 2 Charro, Fernando 2 Ciraolo, Giulio 2 Clapp, Mónica 2 D’Aguì, Giuseppina 2 Damascelli, Lucio 2 Do Ó, João M. Bezerra 2 Durastanti, Riccardo 2 Figalli, Alessio 2 Galakhov, Evgeniĭ Igorevich 2 Garain, Prashanta 2 Abreu Goncalves, Jose Valdo 2 Huang, Shuibo 2 Jarohs, Sven 2 Le, Phuong Quynh 2 Malchiodi, Andrea 2 Mirzaee, Hadi 2 Mosconi, Sunra J. N. 2 Neves, Sérgio L. N. 2 Nyamoradi, Nemat 2 Perera, Kanishka 2 Primo, Ana R. M. 2 Rastegarzadeh, Somayeh 2 Santos, Carlos Alberto P. 2 Sciunzi, Bernardino 2 Soave, Nicola 2 Tian, Qiaoyu 2 Trombetta, Alessandro 2 Vétois, Jérôme 2 Yu, Xiaohui 2 Zou, Wenming 1 Abreu, Emerson A. M. 1 Aguilar, Juan Antonio 1 Ahmad, Bashir 1 Ambrosio, Vincenzo 1 An, Yucheng 1 Ao, Weiwei 1 Ao, Yong 1 Attar, Ahmed 1 Ávila, Andrés I. 1 Barletta, Giuseppina 1 Bellomi, Marcello 1 Ben Boubaker, Mohamed Amine 1 Benedikt, Jiří 1 Bentifour, Rachid 1 Biagi, Stefano 1 Biroud, K. 1 Biswas, Anup 1 Bonorino, Leonardo Prange 1 Boukarabila, Youssouf Oussama 1 Brasco, Lorenzo 1 Cai, Zhipeng 1 Caliari, Marco 1 Candito, Pasquale 1 Castorina, Daniele 1 Chan, Hardy 1 Chen, Guoyuan 1 Chen, Haibo 1 Chen, Haibo 1 Chen, Zhengmao 1 Chlebicka, Iwona 1 Chu, Changmu 1 Colorado, Eduardo 1 Correa, Ernesto 1 da Silva, André Renato Villela 1 Da Silva, Edcarlos Domingos 1 Dai, Qiuyi 1 de Cave, Linda Maria 1 de Pablo, Arturo 1 DelaTorre, Azahara 1 Dieb, Abdelrazek 1 Esposito, Pierpaolo 1 Fang, Xianwen 1 Ferraz, Diego 1 Ferreira, Lucas Catão de Freitas 1 Fontelos López, Marco Antonio 1 Ganguly, Debdip ...and 86 more Authors
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#### Cited in 61 Serials

 13 Journal of Differential Equations 10 Calculus of Variations and Partial Differential Equations 7 Journal of Mathematical Analysis and Applications 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Topological Methods in Nonlinear Analysis 4 Advanced Nonlinear Studies 3 Advances in Mathematics 3 NoDEA. Nonlinear Differential Equations and Applications 3 Discrete and Continuous Dynamical Systems 3 Advances in Nonlinear Analysis 2 Applicable Analysis 2 Computers & Mathematics with Applications 2 Journal of Mathematical Physics 2 Mathematische Annalen 2 Revista Matemática Iberoamericana 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Mediterranean Journal of Mathematics 2 Complex Variables and Elliptic Equations 2 Journal of Fixed Point Theory and Applications 1 Archive for Rational Mechanics and Analysis 1 Journal d’Analyse Mathématique 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Computation 1 Duke Mathematical Journal 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quarterly of Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Note di Matematica 1 Applied Numerical Mathematics 1 Publicacions Matemàtiques 1 International Journal of Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Geometric and Functional Analysis. GAFA 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 Bulletin des Sciences Mathématiques 1 Opuscula Mathematica 1 Complexity 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Positivity 1 Journal of Inequalities and Applications 1 Communications in Contemporary Mathematics 1 Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Boundary Value Problems 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Mathematical Inequalities 1 Eurasian Mathematical Journal 1 S$$\vec{\text{e}}$$MA Journal
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#### Cited in 13 Fields

 126 Partial differential equations (35-XX) 8 Operator theory (47-XX) 5 Functional analysis (46-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 3 Numerical analysis (65-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX)

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