## Souto, Marco Aurelio S.

Compute Distance To:
 Author ID: souto.marco-aurelio-s Published as: Souto, Marco A. S.; Souto, M. A. S.; Souto, Marco Aurelio; Souto, Marco; Souto, Marco Aurelio S.; Souto, Marco A. more...less External Links: MGP
 Documents Indexed: 41 Publications since 1995 Co-Authors: 18 Co-Authors with 39 Joint Publications 298 Co-Co-Authors
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### Co-Authors

 2 single-authored 22 Alves, Claudianor Oliveira 6 de Morais Filho, Daniel C. 5 Ubilla, Pedro 3 de Lima, Romildo N. 3 Do Ó, João M. Bezerra 3 Duarte, Ronaldo C. 3 Soares, Sérgio H. Monari 2 Aires, José F. L. 2 Cerda, Patricio 2 de Assis Lima, Natan 2 da Silva Montenegro, Marcelo 1 Sobreira de Araujo Corrêa, Francisco Julio 1 Delgado, Manuel 1 Iturriaga, Leonelo 1 Lorca, Sebastian Antonio 1 Miyagaki, Olimpio Hiroshi 1 Nóbrega, Alânnio B. 1 Suárez, Antonio
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### Serials

 7 Journal of Differential Equations 4 Electronic Journal of Differential Equations (EJDE) 3 Journal of Mathematical Analysis and Applications 3 Proceedings of the Edinburgh Mathematical Society. Series II 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Differential and Integral Equations 2 Topological Methods in Nonlinear Analysis 2 Abstract and Applied Analysis 2 Communications on Pure and Applied Analysis 1 Rocky Mountain Journal of Mathematics 1 Manuscripta Mathematica 1 Revista Matemática Iberoamericana 1 Communications in Partial Differential Equations 1 Calculus of Variations and Partial Differential Equations 1 Communications on Applied Nonlinear Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Inequalities and Applications 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Nonlinear Analysis. Theory, Methods & Applications
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### Fields

 41 Partial differential equations (35-XX) 6 Operator theory (47-XX) 4 Biology and other natural sciences (92-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX)

### Citations contained in zbMATH Open

33 Publications have been cited 903 times in 751 Documents Cited by Year
Superlinear problems without Ambrosetti and Rabinowitz growth condition. Zbl 1158.35400
Miyagaki, O. H.; Souto, M. A. S.
2008
On systems of elliptic equations involving subcritical or critical Sobolev exponents. Zbl 0958.35037
Alves, C. O.; de Morais Filho, D. C.; Souto, M. A. S.
2000
Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity. Zbl 1263.35076
Alves, Claudianor O.; Souto, Marco A. S.
2013
Existence of least energy nodal solution for a Schrödinger-Poisson system in bounded domains. Zbl 1308.35262
Alves, Claudianor O.; Souto, Marco A. S.
2014
Existence of a ground state solution for a nonlinear scalar field equation with critical growth. Zbl 1237.35037
Alves, Claudianor O.; Souto, Marco A. S.; Montenegro, Marcelo
2012
Systems of $$p$$-Laplacian equations involving homogeneous nonlinearities with critical Sobolev exponent degrees. Zbl 0947.35076
de Morais Filho, D. C.; Souto, M. A. S.
1999
Local mountain-pass for a class of elliptic problems in $$\mathbb R^N$$ involving critical growth. Zbl 1113.35323
Alves, C. O.; do Ó, João Marcos; Souto, M. A. S.
2001
A priori estimates and existence of positive solutions of nonlinear cooperative elliptic systems. Zbl 0823.35064
Souto, M. A. S.
1995
On a class of nonlinear Schrödinger equations in $$\mathbb R^2$$ involving critical growth. Zbl 1068.35036
Marcos do Ó, João; Souto, Marco A. S.
2001
On existence and concentration behavior of ground state solutions for a class of problems with critical growth. Zbl 1183.35121
Alves, C. O.; Souto, M. A. S.
2002
Existence of solutions for a class of problems in $$\mathbb R^N$$ involving the $$p(x)$$-Laplacian. Zbl 1193.35082
Alves, Claudianor O.; Souto, Marco A. S.
2006
Existence of solutions for a class of elliptic equations in $$\mathbb R^N$$ with vanishing potentials. Zbl 1250.35103
Alves, Claudianor O.; Souto, Marco A. S.
2012
Existence of solutions for a quasilinear Schrödinger equation with vanishing potentials. Zbl 1312.35107
Aires, José F. L.; Souto, Marco A. S.
2014
Multiplicity of positive solutions for a class of problems with critical growth in $$\mathbb R^{N}$$. Zbl 1157.35037
Alves, Claudianor O.; de Morais Filho, Daniel C.; Souto, Marco A. S.
2009
Multiplicity of positive solutions for a class of problems with exponential critical growth in $$\mathbb R^2$$. Zbl 1138.35011
Alves, Claudianor O.; Souto, Marco A. S.
2008
Radially symmetric solutions for a class of critical exponent elliptic problems in $$\mathbb R^ N$$. Zbl 0853.35032
Alves, C. O.; de Morais Filho, D. C.; Souto, M. A. S.
1996
Existence of solution for two classes of elliptic problems in $$\mathbb R^N$$ with zero mass. Zbl 1243.35011
Alves, Claudianor O.; Souto, Marco A. S.; Montenegro, Marcelo
2012
A sign-changing solution for the Schrödinger-Poisson equation in $$\mathbb R^3$$. Zbl 1381.35021
Alves, Claudianor O.; Souto, Marco A. S.; Soares, Sérgio H. M.
2017
Existence of positive solution of a nonlocal logistic population model. Zbl 1326.35113
Alves, Claudianor O.; Delgado, Manuel; Souto, Marco A. S.; Suárez, Antonio
2015
Equation with positive coefficient in the quasilinear term and vanishing potential. Zbl 1362.35117
Aires, José F. L.; Souto, Marco A. S.
2015
On maximum principles for cooperative elliptic systems via fixed point index. Zbl 0846.35020
Corrêa, F. J. S. A.; Souto, M. A. S.
1996
Ground state solutions for quasilinear stationary Schrödinger equations with critical growth. Zbl 1266.35031
Souto, Marco A. S.; Soares, Sérgio H. M.
2013
Schrödinger-Poisson equations with supercritical growth. Zbl 1221.35113
Alves, Claudianor O.; Soares, Sérgio H. M.; Souto, Marco A. S.
2011
On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth. Zbl 1098.35065
Souto, Marco A. S.
2002
Existence of a solution for a non-local problem in $$\mathbb{R}^{N}$$ via bifurcation theory. Zbl 1421.35143
Alves, Claudianor O.; De Lima, Romildo N.; Souto, Marco A. S.
2018
Quasilinear problems involving changing-sign nonlinearities without an Ambrosetti-Rabinowitz-type condition. Zbl 1315.35070
Iturriaga, Leonelo; Souto, Marco A.; Ubilla, Pedro
2014
A Berestycki-Lions type result and applications. Zbl 1433.35083
Alves, Claudianor O.; Duarte, Ronaldo C.; Souto, Marco A. S.
2019
Fractional Schrödinger-Poisson equations with general nonlinearities. Zbl 1361.35192
Duarte, Ronaldo C.; Souto, Marco A. S.
2016
On existence of solution for a class of semilinear elliptic equations with nonlinearities that lies between different powers. Zbl 1187.35064
Alves, Claudianor O.; Souto, Marco A. S.
2008
Some non-local logistic population model with non-zero boundary condition. Zbl 1404.35171
Cerda, Patricio; Souto, Marco; Ubilla, Pedro
2018
Elliptic systems with some superlinear assumption only around the origin. Zbl 1407.35079
Cerda, Patricio; Souto, Marco Aurelio; Ubilla, Pedro
2018
Nonlocal Schrödinger equations for integro-differential operators with measurable kernels. Zbl 1433.35092
Duarte, Ronaldo C.; Souto, Marco A. S.
2019
An application of the dual variational principle to a Hamiltonian system with discontinuous nonlinearities. Zbl 1144.35374
Alves, Claudianor O.; de Morais Filho, Daniel C.; Souto, Marco Aurelio S.
2004
A Berestycki-Lions type result and applications. Zbl 1433.35083
Alves, Claudianor O.; Duarte, Ronaldo C.; Souto, Marco A. S.
2019
Nonlocal Schrödinger equations for integro-differential operators with measurable kernels. Zbl 1433.35092
Duarte, Ronaldo C.; Souto, Marco A. S.
2019
Existence of a solution for a non-local problem in $$\mathbb{R}^{N}$$ via bifurcation theory. Zbl 1421.35143
Alves, Claudianor O.; De Lima, Romildo N.; Souto, Marco A. S.
2018
Some non-local logistic population model with non-zero boundary condition. Zbl 1404.35171
Cerda, Patricio; Souto, Marco; Ubilla, Pedro
2018
Elliptic systems with some superlinear assumption only around the origin. Zbl 1407.35079
Cerda, Patricio; Souto, Marco Aurelio; Ubilla, Pedro
2018
A sign-changing solution for the Schrödinger-Poisson equation in $$\mathbb R^3$$. Zbl 1381.35021
Alves, Claudianor O.; Souto, Marco A. S.; Soares, Sérgio H. M.
2017
Fractional Schrödinger-Poisson equations with general nonlinearities. Zbl 1361.35192
Duarte, Ronaldo C.; Souto, Marco A. S.
2016
Existence of positive solution of a nonlocal logistic population model. Zbl 1326.35113
Alves, Claudianor O.; Delgado, Manuel; Souto, Marco A. S.; Suárez, Antonio
2015
Equation with positive coefficient in the quasilinear term and vanishing potential. Zbl 1362.35117
Aires, José F. L.; Souto, Marco A. S.
2015
Existence of least energy nodal solution for a Schrödinger-Poisson system in bounded domains. Zbl 1308.35262
Alves, Claudianor O.; Souto, Marco A. S.
2014
Existence of solutions for a quasilinear Schrödinger equation with vanishing potentials. Zbl 1312.35107
Aires, José F. L.; Souto, Marco A. S.
2014
Quasilinear problems involving changing-sign nonlinearities without an Ambrosetti-Rabinowitz-type condition. Zbl 1315.35070
Iturriaga, Leonelo; Souto, Marco A.; Ubilla, Pedro
2014
Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity. Zbl 1263.35076
Alves, Claudianor O.; Souto, Marco A. S.
2013
Ground state solutions for quasilinear stationary Schrödinger equations with critical growth. Zbl 1266.35031
Souto, Marco A. S.; Soares, Sérgio H. M.
2013
Existence of a ground state solution for a nonlinear scalar field equation with critical growth. Zbl 1237.35037
Alves, Claudianor O.; Souto, Marco A. S.; Montenegro, Marcelo
2012
Existence of solutions for a class of elliptic equations in $$\mathbb R^N$$ with vanishing potentials. Zbl 1250.35103
Alves, Claudianor O.; Souto, Marco A. S.
2012
Existence of solution for two classes of elliptic problems in $$\mathbb R^N$$ with zero mass. Zbl 1243.35011
Alves, Claudianor O.; Souto, Marco A. S.; Montenegro, Marcelo
2012
Schrödinger-Poisson equations with supercritical growth. Zbl 1221.35113
Alves, Claudianor O.; Soares, Sérgio H. M.; Souto, Marco A. S.
2011
Multiplicity of positive solutions for a class of problems with critical growth in $$\mathbb R^{N}$$. Zbl 1157.35037
Alves, Claudianor O.; de Morais Filho, Daniel C.; Souto, Marco A. S.
2009
Superlinear problems without Ambrosetti and Rabinowitz growth condition. Zbl 1158.35400
Miyagaki, O. H.; Souto, M. A. S.
2008
Multiplicity of positive solutions for a class of problems with exponential critical growth in $$\mathbb R^2$$. Zbl 1138.35011
Alves, Claudianor O.; Souto, Marco A. S.
2008
On existence of solution for a class of semilinear elliptic equations with nonlinearities that lies between different powers. Zbl 1187.35064
Alves, Claudianor O.; Souto, Marco A. S.
2008
Existence of solutions for a class of problems in $$\mathbb R^N$$ involving the $$p(x)$$-Laplacian. Zbl 1193.35082
Alves, Claudianor O.; Souto, Marco A. S.
2006
An application of the dual variational principle to a Hamiltonian system with discontinuous nonlinearities. Zbl 1144.35374
Alves, Claudianor O.; de Morais Filho, Daniel C.; Souto, Marco Aurelio S.
2004
On existence and concentration behavior of ground state solutions for a class of problems with critical growth. Zbl 1183.35121
Alves, C. O.; Souto, M. A. S.
2002
On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth. Zbl 1098.35065
Souto, Marco A. S.
2002
Local mountain-pass for a class of elliptic problems in $$\mathbb R^N$$ involving critical growth. Zbl 1113.35323
Alves, C. O.; do Ó, João Marcos; Souto, M. A. S.
2001
On a class of nonlinear Schrödinger equations in $$\mathbb R^2$$ involving critical growth. Zbl 1068.35036
Marcos do Ó, João; Souto, Marco A. S.
2001
On systems of elliptic equations involving subcritical or critical Sobolev exponents. Zbl 0958.35037
Alves, C. O.; de Morais Filho, D. C.; Souto, M. A. S.
2000
Systems of $$p$$-Laplacian equations involving homogeneous nonlinearities with critical Sobolev exponent degrees. Zbl 0947.35076
de Morais Filho, D. C.; Souto, M. A. S.
1999
Radially symmetric solutions for a class of critical exponent elliptic problems in $$\mathbb R^ N$$. Zbl 0853.35032
Alves, C. O.; de Morais Filho, D. C.; Souto, M. A. S.
1996
On maximum principles for cooperative elliptic systems via fixed point index. Zbl 0846.35020
Corrêa, F. J. S. A.; Souto, M. A. S.
1996
A priori estimates and existence of positive solutions of nonlinear cooperative elliptic systems. Zbl 0823.35064
Souto, M. A. S.
1995
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### Cited by 717 Authors

 54 Alves, Claudianor Oliveira 36 Figueiredo, Giovany Malcher 31 Miyagaki, Olimpio Hiroshi 24 Do Ó, João M. Bezerra 18 Ambrosio, Vincenzo 18 Zhang, Jianjun 17 Tang, Xianhua 15 Rădulescu, Vicenţiu D. 14 Souto, Marco Aurelio S. 13 Papageorgiou, Nikolaos S. 10 Chen, Caisheng 10 Chen, Jianhua 10 Huang, Yisheng 10 Kang, Dongsheng 10 Severo, Uberlandio Batista 10 Squassina, Marco 10 Yang, Minbo 10 Zou, Wenming 9 Cheng, Bitao 9 Da Silva, Edcarlos Domingos 9 Ji, Chao 9 Kim, Yunho 9 Ubilla, Pedro 9 Wang, Jun 8 Chen, Haibo 8 Chen, Sitong 8 Furtado, Marcelo Fernandes 7 Deng, Zhiying 7 Isernia, Teresa 7 Kim, Jaemyoung 7 Lee, Jun Ik 7 Liu, Zhaoxia 7 Nyamoradi, Nemat 7 Tang, Chunlei 7 Wang, Dabin 7 Zhang, Fubao 6 An, Yukun 6 Han, Pigong 6 Hsu, TsingSan 6 Huang, Xianjiu 6 Li, Guidong 6 Liang, Zhanping 6 Lü, Dengfeng 6 Molica Bisci, Giovanni 6 Pimenta, Marcos T. O. 6 Ruviaro, Ricardo 6 Sani, Federica 6 Soares, Sérgio H. Monari 6 Tang, Zhongwei 5 Cassani, Daniele 5 Chu, Changmu 5 de Albuquerque, José Carlos 5 Ge, Bin 5 Guan, Wen 5 He, Xiaoming 5 Lu, Guozhen 5 Mihăilescu, Mihai 5 Nóbrega, Alânnio B. 5 Oliveira, José Carlos jun. 5 Vieira, Rônei S. 5 Wu, Xian 5 Xiang, Mingqi 5 Xu, Junxiang 5 Yang, Zuodong 5 Zhang, Binlin 4 Aouaoui, Sami 4 Badiale, Marino 4 Bae, Jung-Hyun 4 Benmouloud, Samira 4 Bouchekif, Mohammed 4 Carrião, Paulo Cesar 4 Costa, David Goldstein 4 da Silva, João Pablo Pinheiro 4 de Lima, Romildo N. 4 de Morais Filho, Daniel C. 4 Echarghaoui, Rachid 4 Fan, Haining 4 Fan, Xianling 4 Ferreira, Marcelo C. 4 Guida, Michela 4 Guo, Yuxia 4 Han, Zhiqing 4 Li, Qin 4 Li, Quanqing 4 Mishra, Pawan Kumar 4 Pereira, Fábio R. 4 Pucci, Patrizia 4 Repovš, Dušan D. 4 Rolando, Sergio 4 Santana, Cláudia R. 4 Sbaï, Si Mohammed 4 Shuai, Wei 4 Wang, Youjun 4 Yang, Jianfu 4 Zhang, Qihu 4 Zhang, Xia 4 Zhu, Maochun 3 Bastos, Waldemar Donizete 3 Cerda, Patricio 3 Chen, Lu ...and 617 more Authors
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### Cited in 141 Serials

 77 Journal of Mathematical Analysis and Applications 65 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 31 Journal of Differential Equations 29 Boundary Value Problems 27 Communications on Pure and Applied Analysis 27 Complex Variables and Elliptic Equations 26 Journal of Mathematical Physics 18 Applicable Analysis 18 Calculus of Variations and Partial Differential Equations 17 ZAMP. Zeitschrift für angewandte Mathematik und Physik 17 Applied Mathematics Letters 17 Discrete and Continuous Dynamical Systems 15 NoDEA. Nonlinear Differential Equations and Applications 15 Advanced Nonlinear Studies 14 Communications in Contemporary Mathematics 14 Mediterranean Journal of Mathematics 13 Nonlinear Analysis. Real World Applications 12 Computers & Mathematics with Applications 11 Topological Methods in Nonlinear Analysis 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Science China. Mathematics 8 Proceedings of the Edinburgh Mathematical Society. Series II 8 Electronic Journal of Differential Equations (EJDE) 8 Advances in Nonlinear Analysis 7 Abstract and Applied Analysis 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 Milan Journal of Mathematics 7 Journal of Fixed Point Theory and Applications 6 Applied Mathematics and Computation 6 Journal of Functional Analysis 6 Taiwanese Journal of Mathematics 6 Journal of Elliptic and Parabolic Equations 5 Mathematical Methods in the Applied Sciences 5 Mathematische Nachrichten 5 Acta Mathematica Scientia. Series B. (English Edition) 5 Advances in Mathematical Physics 4 Manuscripta Mathematica 4 Monatshefte für Mathematik 4 Acta Mathematicae Applicatae Sinica. English Series 4 Asymptotic Analysis 4 Acta Mathematica Sinica. English Series 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 AIMS Mathematics 3 Archive for Rational Mechanics and Analysis 3 Acta Applicandae Mathematicae 3 The Journal of Geometric Analysis 3 Communications in Partial Differential Equations 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Dynamics and Differential Equations 3 Journal of Inequalities and Applications 3 Advances in Difference Equations 3 Journal of Function Spaces 3 Nonlinear Analysis. Theory, Methods & Applications 3 SN Partial Differential Equations and Applications 2 Bulletin of the Australian Mathematical Society 2 Israel Journal of Mathematics 2 Nonlinearity 2 Rocky Mountain Journal of Mathematics 2 Ukrainian Mathematical Journal 2 Glasgow Mathematical Journal 2 Illinois Journal of Mathematics 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of the Korean Mathematical Society 2 Proceedings of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Revista Matemática Iberoamericana 2 Filomat 2 Opuscula Mathematica 2 Advances in Differential Equations 2 Journal of Difference Equations and Applications 2 Journal of Dynamical and Control Systems 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 Journal of Applied Mathematics and Computing 2 Journal of Nonlinear Science and Applications 2 Journal of Pseudo-Differential Operators and Applications 2 Analysis and Mathematical Physics 2 Journal of Applied Analysis and Computation 2 Korean Journal of Mathematics 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Biology 1 Mathematical Notes 1 Nuclear Physics. B 1 Bulletin of Mathematical Biology 1 Advances in Mathematics 1 Anais da Academia Brasileira de Ciências 1 Annales Polonici Mathematici 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society ...and 41 more Serials
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### Cited in 26 Fields

 735 Partial differential equations (35-XX) 61 Global analysis, analysis on manifolds (58-XX) 43 Operator theory (47-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 21 Functional analysis (46-XX) 15 Quantum theory (81-XX) 12 Biology and other natural sciences (92-XX) 11 Ordinary differential equations (34-XX) 11 Integral equations (45-XX) 7 Potential theory (31-XX) 5 Real functions (26-XX) 4 Difference and functional equations (39-XX) 3 Optics, electromagnetic theory (78-XX) 2 Fluid mechanics (76-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)