Ground-state solutions for the electrostatic nonlinear Klein-Gordon-Maxwell system

DOI10.1016/J.NA.2011.04.050zbMath1225.35232OpenAlexW1985288540MaRDI QIDQ550234

Fei-Zhi Wang

Publication date: 8 July 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.04.050

zbMATH Keywords

solitary wavesNehari manifoldelectrostatic fieldKlein-Gordon-Maxwell system

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton solutions (35C08) Maxwell equations (35Q61)

Related Items (22)

Existence and concentration of positive solutions for Klein–Gordon–Maxwell system with asymptotically linear nonlinearities ⋮ Ground state solutions for the critical Klein-Gordon-Maxwell system ⋮ Infinitely many standing wave solutions for the nonlinear Klein-Gordon-Maxwell system with sign-changing potential ⋮ Improved results for Klein-Gordon-Maxwell systems with general nonlinearity ⋮ Generalized semi-local Klein-Gordon-Maxwell equations ⋮ Ground state solutions of a Klein–Gordon–Maxwell system for two scalar fields ⋮ Existence of nontrivial solutions for the Klein-Gordon-Maxwell system with Berestycki-Lions conditions ⋮ Vortex ground states for Klein-Gordon-Maxwell-Proca type systems ⋮ Ground state solutions for Klein-Gordon-Maxwell system with steep potential well ⋮ Multiple solutions for nonhomogeneous Klein-Gordon-Maxwell equations on \(\mathbb{R}^3\) ⋮ Infinitely many solutions and least energy solutions for Klein-Gordon-Maxwell systems with general superlinear nonlinearity ⋮ Existence and multiplicity of solutions for Klein-Gordon-Maxwell systems with sign-changing potentials ⋮ Infinitely many solutions and concentration of ground state solutions for the Klein-Gordon-Maxwell system ⋮ Some results of nontrivial solutions for Klein-Gordon-Maxwell systems with local super-quadratic conditions ⋮ Multiple solutions for the Klein-Gordon-Maxwell system with steep potential well ⋮ Unnamed Item ⋮ Infinitely many solutions for a nonlinear Klein-Gordon-Maxwell system ⋮ Nonrelativistic limit of solitary waves for nonlinear Maxwell-Klein-Gordon equations ⋮ Improved results of nontrivial solutions for a nonlinear nonhomogeneous Klein-Gordon-Maxwell system involving sign-changing potential ⋮ On the Existence of Ground States for a Nonlinear Klein-Gordon-Maxwell Type System ⋮ Multiple positive solutions for nonhomogeneous Klein-Gordon-Maxwell equations ⋮ Nonexistence and existence of nontrivial solutions for Klein-Gordon-Maxwell systems with competing nonlinearities

Cites Work

• Unnamed Item
• Solitary waves for the Klein-Gordon-Maxwell system with critical exponent
• Existence and non-existence of solitary waves for the critical Klein-Gordon equation coupled with Maxwell's equations
• Minimax theorems
• Ground state solutions for the nonlinear Klein-Gordon-Maxwell equations
• Improved estimates and a limit case for the electrostatic Klein–Gordon–Maxwell system
• SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations

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