Edit Profile (opens in new tab) Souto, Marco Aurelio S. Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1158.35400Miyagaki, O. H.; Souto, M. A. S. 113 2008 On systems of elliptic equations involving subcritical or critical Sobolev exponents. Zbl 0958.35037Alves, C. O.; de Morais Filho, D. C.; Souto, M. A. S. 113 2000 Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity. Zbl 1263.35076Alves, Claudianor O.; Souto, Marco A. S. 87 2013 Existence of least energy nodal solution for a Schrödinger-Poisson system in bounded domains. Zbl 1308.35262Alves, Claudianor O.; Souto, Marco A. S. 80 2014 Existence of a ground state solution for a nonlinear scalar field equation with critical growth. Zbl 1237.35037Alves, Claudianor O.; Souto, Marco A. S.; Montenegro, Marcelo 58 2012 Systems of \(p\)-Laplacian equations involving homogeneous nonlinearities with critical Sobolev exponent degrees. Zbl 0947.35076de Morais Filho, D. C.; Souto, M. A. S. 54 1999 Local mountain-pass for a class of elliptic problems in \(\mathbb R^N\) involving critical growth. Zbl 1113.35323Alves, C. O.; do Ó, João Marcos; Souto, M. A. S. 46 2001 A priori estimates and existence of positive solutions of nonlinear cooperative elliptic systems. Zbl 0823.35064Souto, M. A. S. 41 1995 On a class of nonlinear Schrödinger equations in \(\mathbb R^2\) involving critical growth. Zbl 1068.35036Marcos do Ó, João; Souto, Marco A. S. 39 2001 On existence and concentration behavior of ground state solutions for a class of problems with critical growth. Zbl 1183.35121Alves, C. O.; Souto, M. A. S. 33 2002 Existence of solutions for a class of problems in \(\mathbb R^N\) involving the \(p(x)\)-Laplacian. Zbl 1193.35082Alves, Claudianor O.; Souto, Marco A. S. 31 2006 Existence of solutions for a class of elliptic equations in \(\mathbb R^N\) with vanishing potentials. Zbl 1250.35103Alves, Claudianor O.; Souto, Marco A. S. 28 2012 Existence of solutions for a quasilinear Schrödinger equation with vanishing potentials. Zbl 1312.35107Aires, José F. L.; Souto, Marco A. S. 22 2014 Multiplicity of positive solutions for a class of problems with critical growth in \(\mathbb R^{N}\). Zbl 1157.35037Alves, Claudianor O.; de Morais Filho, Daniel C.; Souto, Marco A. S. 21 2009 Multiplicity of positive solutions for a class of problems with exponential critical growth in \(\mathbb R^2\). Zbl 1138.35011Alves, Claudianor O.; Souto, Marco A. S. 20 2008 Radially symmetric solutions for a class of critical exponent elliptic problems in \(\mathbb R^ N\). Zbl 0853.35032Alves, C. O.; de Morais Filho, D. C.; Souto, M. A. S. 18 1996 Existence of solution for two classes of elliptic problems in \(\mathbb R^N\) with zero mass. Zbl 1243.35011Alves, Claudianor O.; Souto, Marco A. S.; Montenegro, Marcelo 18 2012 A sign-changing solution for the Schrödinger-Poisson equation in \(\mathbb R^3\). Zbl 1381.35021Alves, Claudianor O.; Souto, Marco A. S.; Soares, Sérgio H. M. 13 2017 Existence of positive solution of a nonlocal logistic population model. Zbl 1326.35113Alves, Claudianor O.; Delgado, Manuel; Souto, Marco A. S.; Suárez, Antonio 13 2015 Equation with positive coefficient in the quasilinear term and vanishing potential. Zbl 1362.35117Aires, José F. L.; Souto, Marco A. S. 12 2015 On maximum principles for cooperative elliptic systems via fixed point index. Zbl 0846.35020Corrêa, F. J. S. A.; Souto, M. A. S. 9 1996 Ground state solutions for quasilinear stationary Schrödinger equations with critical growth. Zbl 1266.35031Souto, Marco A. S.; Soares, Sérgio H. M. 7 2013 Schrödinger-Poisson equations with supercritical growth. Zbl 1221.35113Alves, Claudianor O.; Soares, Sérgio H. M.; Souto, Marco A. S. 6 2011 On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth. Zbl 1098.35065Souto, Marco A. S. 4 2002 Existence of a solution for a non-local problem in \(\mathbb{R}^{N}\) via bifurcation theory. Zbl 1421.35143Alves, Claudianor O.; De Lima, Romildo N.; Souto, Marco A. S. 4 2018 Quasilinear problems involving changing-sign nonlinearities without an Ambrosetti-Rabinowitz-type condition. Zbl 1315.35070Iturriaga, Leonelo; Souto, Marco A.; Ubilla, Pedro 4 2014 A Berestycki-Lions type result and applications. Zbl 1433.35083Alves, Claudianor O.; Duarte, Ronaldo C.; Souto, Marco A. S. 3 2019 Fractional Schrödinger-Poisson equations with general nonlinearities. Zbl 1361.35192Duarte, Ronaldo C.; Souto, Marco A. S. 1 2016 On existence of solution for a class of semilinear elliptic equations with nonlinearities that lies between different powers. Zbl 1187.35064Alves, Claudianor O.; Souto, Marco A. S. 1 2008 Some non-local logistic population model with non-zero boundary condition. Zbl 1404.35171Cerda, Patricio; Souto, Marco; Ubilla, Pedro 1 2018 Elliptic systems with some superlinear assumption only around the origin. Zbl 1407.35079Cerda, Patricio; Souto, Marco Aurelio; Ubilla, Pedro 1 2018 Nonlocal Schrödinger equations for integro-differential operators with measurable kernels. Zbl 1433.35092Duarte, Ronaldo C.; Souto, Marco A. S. 1 2019 An application of the dual variational principle to a Hamiltonian system with discontinuous nonlinearities. Zbl 1144.35374Alves, Claudianor O.; de Morais Filho, Daniel C.; Souto, Marco Aurelio S. 1 2004 A Berestycki-Lions type result and applications. Zbl 1433.35083Alves, Claudianor O.; Duarte, Ronaldo C.; Souto, Marco A. S. 3 2019 Nonlocal Schrödinger equations for integro-differential operators with measurable kernels. Zbl 1433.35092Duarte, Ronaldo C.; Souto, Marco A. S. 1 2019 Existence of a solution for a non-local problem in \(\mathbb{R}^{N}\) via bifurcation theory. Zbl 1421.35143Alves, Claudianor O.; De Lima, Romildo N.; Souto, Marco A. S. 4 2018 Some non-local logistic population model with non-zero boundary condition. Zbl 1404.35171Cerda, Patricio; Souto, Marco; Ubilla, Pedro 1 2018 Elliptic systems with some superlinear assumption only around the origin. Zbl 1407.35079Cerda, Patricio; Souto, Marco Aurelio; Ubilla, Pedro 1 2018 A sign-changing solution for the Schrödinger-Poisson equation in \(\mathbb R^3\). Zbl 1381.35021Alves, Claudianor O.; Souto, Marco A. S.; Soares, Sérgio H. M. 13 2017 Fractional Schrödinger-Poisson equations with general nonlinearities. Zbl 1361.35192Duarte, Ronaldo C.; Souto, Marco A. S. 1 2016 Existence of positive solution of a nonlocal logistic population model. Zbl 1326.35113Alves, Claudianor O.; Delgado, Manuel; Souto, Marco A. S.; Suárez, Antonio 13 2015 Equation with positive coefficient in the quasilinear term and vanishing potential. Zbl 1362.35117Aires, José F. L.; Souto, Marco A. S. 12 2015 Existence of least energy nodal solution for a Schrödinger-Poisson system in bounded domains. Zbl 1308.35262Alves, Claudianor O.; Souto, Marco A. S. 80 2014 Existence of solutions for a quasilinear Schrödinger equation with vanishing potentials. Zbl 1312.35107Aires, José F. L.; Souto, Marco A. S. 22 2014 Quasilinear problems involving changing-sign nonlinearities without an Ambrosetti-Rabinowitz-type condition. Zbl 1315.35070Iturriaga, Leonelo; Souto, Marco A.; Ubilla, Pedro 4 2014 Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity. Zbl 1263.35076Alves, Claudianor O.; Souto, Marco A. S. 87 2013 Ground state solutions for quasilinear stationary Schrödinger equations with critical growth. Zbl 1266.35031Souto, Marco A. S.; Soares, Sérgio H. M. 7 2013 Existence of a ground state solution for a nonlinear scalar field equation with critical growth. Zbl 1237.35037Alves, Claudianor O.; Souto, Marco A. S.; Montenegro, Marcelo 58 2012 Existence of solutions for a class of elliptic equations in \(\mathbb R^N\) with vanishing potentials. Zbl 1250.35103Alves, Claudianor O.; Souto, Marco A. S. 28 2012 Existence of solution for two classes of elliptic problems in \(\mathbb R^N\) with zero mass. Zbl 1243.35011Alves, Claudianor O.; Souto, Marco A. S.; Montenegro, Marcelo 18 2012 Schrödinger-Poisson equations with supercritical growth. Zbl 1221.35113Alves, Claudianor O.; Soares, Sérgio H. M.; Souto, Marco A. S. 6 2011 Multiplicity of positive solutions for a class of problems with critical growth in \(\mathbb R^{N}\). Zbl 1157.35037Alves, Claudianor O.; de Morais Filho, Daniel C.; Souto, Marco A. S. 21 2009 Superlinear problems without Ambrosetti and Rabinowitz growth condition. Zbl 1158.35400Miyagaki, O. H.; Souto, M. A. S. 113 2008 Multiplicity of positive solutions for a class of problems with exponential critical growth in \(\mathbb R^2\). Zbl 1138.35011Alves, Claudianor O.; Souto, Marco A. S. 20 2008 On existence of solution for a class of semilinear elliptic equations with nonlinearities that lies between different powers. Zbl 1187.35064Alves, Claudianor O.; Souto, Marco A. S. 1 2008 Existence of solutions for a class of problems in \(\mathbb R^N\) involving the \(p(x)\)-Laplacian. Zbl 1193.35082Alves, Claudianor O.; Souto, Marco A. S. 31 2006 An application of the dual variational principle to a Hamiltonian system with discontinuous nonlinearities. Zbl 1144.35374Alves, Claudianor O.; de Morais Filho, Daniel C.; Souto, Marco Aurelio S. 1 2004 On existence and concentration behavior of ground state solutions for a class of problems with critical growth. Zbl 1183.35121Alves, C. O.; Souto, M. A. S. 33 2002 On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth. Zbl 1098.35065Souto, Marco A. S. 4 2002 Local mountain-pass for a class of elliptic problems in \(\mathbb R^N\) involving critical growth. Zbl 1113.35323Alves, C. O.; do Ó, João Marcos; Souto, M. A. S. 46 2001 On a class of nonlinear Schrödinger equations in \(\mathbb R^2\) involving critical growth. Zbl 1068.35036Marcos do Ó, João; Souto, Marco A. S. 39 2001 On systems of elliptic equations involving subcritical or critical Sobolev exponents. Zbl 0958.35037Alves, C. O.; de Morais Filho, D. C.; Souto, M. A. S. 113 2000 Systems of \(p\)-Laplacian equations involving homogeneous nonlinearities with critical Sobolev exponent degrees. Zbl 0947.35076de Morais Filho, D. C.; Souto, M. A. S. 54 1999 Radially symmetric solutions for a class of critical exponent elliptic problems in \(\mathbb R^ N\). Zbl 0853.35032Alves, C. O.; de Morais Filho, D. C.; Souto, M. A. S. 18 1996 On maximum principles for cooperative elliptic systems via fixed point index. Zbl 0846.35020Corrêa, F. J. S. A.; Souto, M. A. S. 9 1996 A priori estimates and existence of positive solutions of nonlinear cooperative elliptic systems. Zbl 0823.35064Souto, M. A. S. 41 1995 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year