Nontrivial solutions for Klein-Gordon-Maxwell systems with sign-changing potentials

DOI10.1186/s13661-022-01664-4zbMath1505.35154OpenAlexW4308531548MaRDI QIDQ2098279

Xian Zhang, Chen Huang

Publication date: 17 November 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-022-01664-4

zbMATH Keywords

Morse theoryvariational methodssign-changing potentialKlein-Gordon-Maxwell systems

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Schrödinger operator, Schrödinger equation (35J10) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)

Cites Work

• Multiplicity of solutions for a nonlinear Klein-Gordon-Maxwell system
• Infinitely many solutions for a nonlinear Klein-Gordon-Maxwell system
• The existence of surfaces of constant mean curvature with free boundaries
• Improved results for Klein-Gordon-Maxwell systems with general nonlinearity
• Standing waves for quasilinear Schrödinger equations with indefinite potentials
• Infinitely many solutions and least energy solutions for Klein-Gordon-Maxwell systems with general superlinear nonlinearity
• Infinite dimensional Morse theory and multiple solution problems
• Applications of local linking to critical point theory
• The nonlinear Klein-Gordon equation coupled with the Maxwell equations.
• Ground state solutions for the nonlinear Klein-Gordon-Maxwell equations
• On the Schrödinger-Poisson system with indefinite potential and 3-sublinear nonlinearity
• Subcritical and supercritical Klein-Gordon-Maxwell equations without Ambrosetti-Rabinowitz condition.
• Multiple solutions for Schrödinger-Kirchhoff equations with indefinite potential
• Standing waves with large frequency for 4-superlinear Schrödinger-Poisson systems
• Infinitely many standing wave solutions for the nonlinear Klein-Gordon-Maxwell system with sign-changing potential
• Improved estimates and a limit case for the electrostatic Klein–Gordon–Maxwell system
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• Standing waves for 4-superlinear Schrödinger-Poisson systems with indefinite potentials
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Nontrivial solutions for Klein-Gordon-Maxwell systems with sign-changing potentials