Elson Leal de Moura, Olimpio Hiroshi Miyagaki, Ricardo Ruviaro
Abstract:
This article concerns the Klein-Gordon-Maxwell type system when the
nonlinearity has a quasicritical growth at infinity, involving
zero mass potential, that is,
, as
.
The interaction of the behavior of the potential and nonlinearity recover
the lack of the compactness of Sobolev embedding in whole space.
The positive ground state solution is obtained by proving that the solution
satisfies Mountain Pass level.
Submitted April 19, 2017. Published June 27, 2017.
Math Subject Classifications: 35A15, 35Q61, 35B38, 35B09.
Key Words: Klein-Gordon-Maxwell; positive solution; ground state;
vanishing potential.
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Elson Leal de Moura Universidade Federal dos Vales do Jequitinhonha e Mucuri 39803-371 Teófilo Otoni-MG, Brazil email: elson.moura@ufvjm.edu.br | |
Olimpio Hiroshi Miyagaki Universidade Federal de Juiz de Fora Departamento de Matemática 36036-330 Juiz de Fora-MG, Brazil email: ohmiyagaki@gmail.com | |
Ricardo Ruviaro Universidade de Brasília Departamento de Matemática 70910-900 Brasília-DF, Brazil email: ruviaro@mat.unb.br |
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