## Azzollini, Antonio

Compute Distance To:
 Author ID: azzollini.antonio Published as: Azzollini, Antonio; Azzollini, A.
 Documents Indexed: 29 Publications since 2006 1 Contribution as Editor Co-Authors: 9 Co-Authors with 16 Joint Publications 133 Co-Co-Authors
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### Co-Authors

 14 single-authored 12 Pomponio, Alessio 6 d’Avenia, Pietro 1 Benci, Vieri 1 D’Aprile, Teresa 1 Fortunato, Donato 1 Luisi, Valeria 1 Pisani, Lorenzo 1 Siciliano, Gaetano 1 Vaira, Giusi
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### Serials

 3 Journal of Mathematical Analysis and Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Calculus of Variations and Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 1 Nonlinearity 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Ricerche di Matematica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Differential and Integral Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Topological Methods in Nonlinear Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Communications in Contemporary Mathematics 1 Advanced Nonlinear Studies 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Lecture Notes of Seminario Interdisciplinare di Matematica 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Advances in Nonlinear Analysis
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### Fields

 28 Partial differential equations (35-XX) 6 Optics, electromagnetic theory (78-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX)

### Citations contained in zbMATH Open

22 Publications have been cited 836 times in 575 Documents Cited by Year
Ground state solutions for the nonlinear Schrödinger-Maxwell equations. Zbl 1147.35091
Azzollini, A.; Pomponio, A.
2008
On the Schrödinger-Maxwell equations under the effect of a general nonlinear term. Zbl 1187.35231
Azzollini, A.; d’Avenia, P.; Pomponio, A.
2010
The elliptic Kirchhoff equation in $$\mathbb {R}^{N}$$ perturbed by a local nonlinearity. Zbl 1265.35069
Azzollini, Antonio
2012
Concentration and compactness in nonlinear Schrödinger-Poisson system with a general nonlinearity. Zbl 1197.35096
Azzollini, A.
2010
Ground state solutions for the nonlinear Klein-Gordon-Maxwell equations. Zbl 1203.35274
Azzollini, Antonio; Pomponio, Alessio
2010
Multiple critical points for a class of nonlinear functionals. Zbl 1230.58014
Azzollini, A.; d’avenia, P.; Pomponio, A.
2011
On the Schrödinger equation in $$\mathbb R^N$$ under the effect of a general nonlinear term. Zbl 1170.35038
Azzollini, A.; Pomponio, A.
2009
A note on the elliptic Kirchhoff equation in $$\mathbb{R}^{n}$$ perturbed by a local nonlinearity. Zbl 1321.35016
Azzollini, A.
2015
Improved estimates and a limit case for the electrostatic Klein-Gordon-Maxwell system. Zbl 1231.35244
Azzollini, A.; Pisani, L.; Pomponio, A.
2011
Ground state solution for a problem with mean curvature operator in Minkowski space. Zbl 1305.35082
Azzollini, A.
2014
Quasilinear elliptic equations in $$\mathbb{R }^{N}$$ via variational methods and Orlicz-Sobolev embeddings. Zbl 1285.35039
Azzollini, A.; d’Avenia, P.; Pomponio, A.
2014
On a system involving a critically growing nonlinearity. Zbl 1229.35060
Azzollini, Antonio; d’Avenia, Pietro
2012
Existence of static solutions of the semilinear Maxwell equations. Zbl 1150.35078
Azzollini, Antonio; Benci, V.; D’Aprile, Teresa; Fortunato, Donato
2006
Generalized Schrödinger-Poisson type systems. Zbl 1270.35227
Azzollini, Antonio; D’Avenia, Pietro; Luisi, Valeria
2013
On a prescribed mean curvature equation in Lorentz-Minkowski space. Zbl 1355.35083
Azzollini, A.
2016
Compactness results and applications to some “zero mass” elliptic problems. Zbl 1159.35022
Azzollini, A.; Pomponio, A.
2008
On a “zero mass” nonlinear Schrödinger equation. Zbl 1132.35472
Azzollini, Antonio; Pomponio, Alessio
2007
Generalized Schrödinger-Newton system in dimension $$N\geqslant 3$$: critical case. Zbl 1373.35120
Azzollini, Antonio; d’Avenia, Pietro; Vaira, Giusi
2017
Minimum action solutions for a quasilinear equation. Zbl 1333.35071
Azzollini, A.
2015
On the Schrödinger-Born-Infeld system. Zbl 1418.35137
Azzollini, Antonio; Pomponio, Alessio; Siciliano, Gaetano
2019
A note on the ground state solutions for the nonlinear Schrödinger-Maxwell equations. Zbl 1173.35674
Azzollini, A.; Pomponio, A.
2009
On a functional satisfying a weak Palais-Smale condition. Zbl 1278.49013
Azzollini, Antonio
2014
On the Schrödinger-Born-Infeld system. Zbl 1418.35137
Azzollini, Antonio; Pomponio, Alessio; Siciliano, Gaetano
2019
Generalized Schrödinger-Newton system in dimension $$N\geqslant 3$$: critical case. Zbl 1373.35120
Azzollini, Antonio; d&rsquo;Avenia, Pietro; Vaira, Giusi
2017
On a prescribed mean curvature equation in Lorentz-Minkowski space. Zbl 1355.35083
Azzollini, A.
2016
A note on the elliptic Kirchhoff equation in $$\mathbb{R}^{n}$$ perturbed by a local nonlinearity. Zbl 1321.35016
Azzollini, A.
2015
Minimum action solutions for a quasilinear equation. Zbl 1333.35071
Azzollini, A.
2015
Ground state solution for a problem with mean curvature operator in Minkowski space. Zbl 1305.35082
Azzollini, A.
2014
Quasilinear elliptic equations in $$\mathbb{R }^{N}$$ via variational methods and Orlicz-Sobolev embeddings. Zbl 1285.35039
Azzollini, A.; d&rsquo;Avenia, P.; Pomponio, A.
2014
On a functional satisfying a weak Palais-Smale condition. Zbl 1278.49013
Azzollini, Antonio
2014
Generalized Schrödinger-Poisson type systems. Zbl 1270.35227
Azzollini, Antonio; D&rsquo;Avenia, Pietro; Luisi, Valeria
2013
The elliptic Kirchhoff equation in $$\mathbb {R}^{N}$$ perturbed by a local nonlinearity. Zbl 1265.35069
Azzollini, Antonio
2012
On a system involving a critically growing nonlinearity. Zbl 1229.35060
Azzollini, Antonio; d&rsquo;Avenia, Pietro
2012
Multiple critical points for a class of nonlinear functionals. Zbl 1230.58014
Azzollini, A.; d&rsquo;avenia, P.; Pomponio, A.
2011
Improved estimates and a limit case for the electrostatic Klein-Gordon-Maxwell system. Zbl 1231.35244
Azzollini, A.; Pisani, L.; Pomponio, A.
2011
On the Schrödinger-Maxwell equations under the effect of a general nonlinear term. Zbl 1187.35231
Azzollini, A.; d&rsquo;Avenia, P.; Pomponio, A.
2010
Concentration and compactness in nonlinear Schrödinger-Poisson system with a general nonlinearity. Zbl 1197.35096
Azzollini, A.
2010
Ground state solutions for the nonlinear Klein-Gordon-Maxwell equations. Zbl 1203.35274
Azzollini, Antonio; Pomponio, Alessio
2010
On the Schrödinger equation in $$\mathbb R^N$$ under the effect of a general nonlinear term. Zbl 1170.35038
Azzollini, A.; Pomponio, A.
2009
A note on the ground state solutions for the nonlinear Schrödinger-Maxwell equations. Zbl 1173.35674
Azzollini, A.; Pomponio, A.
2009
Ground state solutions for the nonlinear Schrödinger-Maxwell equations. Zbl 1147.35091
Azzollini, A.; Pomponio, A.
2008
Compactness results and applications to some “zero mass” elliptic problems. Zbl 1159.35022
Azzollini, A.; Pomponio, A.
2008
On a “zero mass” nonlinear Schrödinger equation. Zbl 1132.35472
Azzollini, Antonio; Pomponio, Alessio
2007
Existence of static solutions of the semilinear Maxwell equations. Zbl 1150.35078
Azzollini, Antonio; Benci, V.; D&rsquo;Aprile, Teresa; Fortunato, Donato
2006
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### Cited by 525 Authors

 41 Tang, Xianhua 28 Chen, Sitong 19 Chen, Haibo 16 Alves, Claudianor Oliveira 15 Pomponio, Alessio 14 Azzollini, Antonio 14 Sun, Juntao 14 Wu, Tsungfang 12 Siciliano, Gaetano 11 Liu, Zhisu 10 d’Avenia, Pietro 10 Mederski, Jarosław 9 Ding, Yanheng 9 Figueiredo, Giovany Malcher 9 Li, Fuyi 8 Zhang, Fubao 8 Zhang, Jianjun 7 Ghimenti, Marco G. 7 Huang, Yisheng 7 Liu, Jiu 7 Maia, Liliane A. 7 Micheletti, Anna Maria 7 Qin, Dongdong 7 Watanabe, Tatsuya 7 Wu, Yuanze 6 Ambrosio, Vincenzo 6 Che, Guofeng 6 Guo, Shangjiang 6 He, Xiaoming 6 Lei, Chunyu 6 Li, Lin 6 Liu, Zeng 6 Ma, Shiwang 6 Rădulescu, Vicenţiu D. 6 Su, Jiabao 6 Tang, Chun-Lei 6 Yang, Minbo 5 Bartsch, Thomas J. 5 Chen, Jianqing 5 Chen, Shangjie 5 Chen, Shaowei 5 Huang, Lirong 5 Liang, Zhanping 5 Miyagaki, Olimpio Hiroshi 5 Repovš, Dušan D. 5 Ruviaro, Ricardo 5 Squassina, Marco 5 Suo, Hong-Min 5 Teng, Kaimin 5 Vaira, Giusi 5 Wang, Jun 5 Wu, Xingping 5 Xu, Junxiang 5 Zhao, Fukun 5 Zhao, Leiga 5 Zhou, Huan-Song 4 Bellazzini, Jacopo 4 Boscaggin, Alberto 4 Colin, Mathieu 4 Du, Yao 4 Feng, Zhaosheng 4 Furtado, Marcelo Fernandes 4 Guan, Wen 4 Hebey, Emmanuel 4 Huang, Wennian 4 Ikoma, Norihisa 4 Jeanjean, Louis 4 Jiang, Yongsheng 4 Lehrer, Raquel 4 Li, Yuhua 4 Liao, Jiafeng 4 Liu, Gaosheng 4 Liu, Shibo 4 Lu, Sheng-Sen 4 Luo, Tingjian 4 Rocha, Eugénio A. M. 4 Rolando, Sergio 4 Romero, Alfonso 4 Santos, João R. jun. 4 Seok, Jinmyoung 4 Shi, Junping 4 Thizy, Pierre-Damien 4 Tian, Lixin 4 Wang, Dabin 4 Xiang, Mingqi 4 Xu, Tian 4 Yang, Zhipeng 4 Ye, Hongyu 4 Zhang, Binlin 4 Zhang, Jian 4 Zhang, Wen 4 Zhang, Zhitao 4 Zhang, Ziheng 4 Zhu, Xiaoli 3 Bonheure, Denis 3 Chen, Haibo 3 Cheng, Bitao 3 Costa, David Goldstein 3 de la Fuente, Daniel 3 Ding, Ling ...and 425 more Authors
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### Cited in 111 Serials

 69 Journal of Mathematical Analysis and Applications 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 28 Journal of Differential Equations 25 Journal of Mathematical Physics 25 ZAMP. Zeitschrift für angewandte Mathematik und Physik 20 Calculus of Variations and Partial Differential Equations 18 Computers & Mathematics with Applications 18 Applied Mathematics Letters 15 Discrete and Continuous Dynamical Systems 14 Communications in Contemporary Mathematics 14 Boundary Value Problems 13 Nonlinear Analysis. Real World Applications 13 Advanced Nonlinear Studies 13 Communications on Pure and Applied Analysis 12 NoDEA. Nonlinear Differential Equations and Applications 12 Advances in Nonlinear Analysis 10 Mathematical Methods in the Applied Sciences 9 Electronic Journal of Differential Equations (EJDE) 9 Complex Variables and Elliptic Equations 8 Applicable Analysis 8 Applied Mathematics and Computation 8 Mediterranean Journal of Mathematics 7 Discrete and Continuous Dynamical Systems. Series S 6 Topological Methods in Nonlinear Analysis 6 Journal of Fixed Point Theory and Applications 5 Archive for Rational Mechanics and Analysis 5 Journal of Functional Analysis 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Rocky Mountain Journal of Mathematics 4 Journal of the Korean Mathematical Society 4 The Journal of Geometric Analysis 4 Advances in Mathematical Physics 4 Journal of Applied Analysis and Computation 4 Journal of Function Spaces 4 SN Partial Differential Equations and Applications 3 Nonlinearity 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Proceedings of the American Mathematical Society 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Acta Applicandae Mathematicae 3 Advances in Differential Equations 3 Abstract and Applied Analysis 3 Analysis and Mathematical Physics 3 Journal of Elliptic and Parabolic Equations 3 AIMS Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Israel Journal of Mathematics 2 Chaos, Solitons and Fractals 2 Archiv der Mathematik 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Revista Matemática Iberoamericana 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Mathematical Analysis 2 Potential Analysis 2 Taiwanese Journal of Mathematics 2 Journal of Applied Mathematics and Computing 2 Milan Journal of Mathematics 2 Advances in Difference Equations 2 Advances in Calculus of Variations 2 Asian-European Journal of Mathematics 2 Science China. Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Open Mathematics 2 Minimax Theory and its Applications 2 Electronic Research Archive 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 General Relativity and Gravitation 1 Lithuanian Mathematical Journal 1 Mathematical Notes 1 Annales Polonici Mathematici 1 Applied Mathematics and Optimization 1 Funkcialaj Ekvacioj. Serio Internacia 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Pacific Journal of Mathematics 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Ricerche di Matematica 1 Transactions of the American Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Asymptotic Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Turkish Journal of Mathematics 1 Opuscula Mathematica 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Journal of Inequalities and Applications 1 Journal of the European Mathematical Society (JEMS) 1 Journal of High Energy Physics 1 Qualitative Theory of Dynamical Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of the Australian Mathematical Society 1 Journal of Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris ...and 11 more Serials
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### Cited in 21 Fields

 559 Partial differential equations (35-XX) 46 Global analysis, analysis on manifolds (58-XX) 38 Quantum theory (81-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 20 Optics, electromagnetic theory (78-XX) 16 Ordinary differential equations (34-XX) 15 Operator theory (47-XX) 11 Differential geometry (53-XX) 8 Functional analysis (46-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Integral equations (45-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Mechanics of deformable solids (74-XX) 3 Real functions (26-XX) 3 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX)