Nonexistence and existence of nontrivial solutions for Klein-Gordon-Maxwell systems with competing nonlinearities

DOI10.1186/s13661-019-1146-8OpenAlexW2921722611WikidataQ128427993 ScholiaQ128427993MaRDI QIDQ2108231

Chongqing Wei, Anran Li

Publication date: 19 December 2022

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

Full work available at URL: https://doi.org/10.1186/s13661-019-1146-8

zbMATH Keywords

mountain pass theoremvariational methodsEkeland's variational principlecompeting nonlinearitiesKlein-Gordon-Maxwell system

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Weak solutions to PDEs (35D30) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Cites Work

• Unnamed Item
• Unnamed Item
• Existence of entire solutions for a class of quasilinear elliptic equations
• Positive ground state solutions for the critical Klein-Gordon-Maxwell system with potentials
• Nonradial solutions for the Klein-Gordon-Maxwell equations
• On some critical problems for the fractional Laplacian operator
• Multiplicity of solutions for a nonlinear Klein-Gordon-Maxwell system
• Ground-state solutions for the electrostatic nonlinear Klein-Gordon-Maxwell system
• Multiple solutions for nonhomogeneous Schrödinger-Maxwell and Klein-Gordon-Maxwell equations on \(\mathbb R^3\)
• Solitary waves for the Klein-Gordon-Maxwell system with critical exponent
• Combined effects in quasilinear elliptic problems with lack of compactness
• Existence results for the Klein-Gordon-Maxwell equations in higher dimensions with critical exponents
• On some fractional equations with convex-concave and logistic-type nonlinearities
• Infinitely many solutions for a nonlinear Klein-Gordon-Maxwell system
• Existence of solutions for perturbed fractional \(p\)-Laplacian equations
• Solitary waves in Abelian gauge theories with strongly nonlinear potentials
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Elliptic problems with nonlinearities indefinite in sign
• On the variational principle
• Local superlinearity and sublinearity for indefinite semilinear elliptic problems.
• Existence and non-existence of solitary waves for the critical Klein-Gordon equation coupled with Maxwell's equations
• Ground state solutions for the nonlinear Klein-Gordon-Maxwell equations
• Spinning Q-balls in abelian gauge theories with positive potentials: existence and non existence
• Infinitely many standing wave solutions for the nonlinear Klein-Gordon-Maxwell system with sign-changing potential
• Elliptic problems involving the \(p(x)\)-Laplacian with competing nonlinearities
• Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
• Existence of entire solutions for a class of variable exponent elliptic equations
• Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
• On perturbation of a functional with the mountain pass geometry: application to the nonlinear Schrödinger-Poisson equations and the nonlinear Klein-Gordon-Maxwell equations
• A concave—convex elliptic problem involving the fractional Laplacian
• Improved estimates and a limit case for the electrostatic Klein–Gordon–Maxwell system
• On Concentration of Positive Bound States of Nonlinear Schrödinger Equations with Competing Potential Functions
• SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
• On an Elliptic Equation with Concave and Convex Nonlinearities

This page was built for publication: Nonexistence and existence of nontrivial solutions for Klein-Gordon-Maxwell systems with competing nonlinearities