scientific article; zbMATH DE number 6895427

zbMath1398.35218MaRDI QIDQ4569663

Shang-Jie Chen, Lixia Wang

Publication date: 27 June 2018

Full work available at URL: https://ejde.math.txstate.edu/Volumes/2018/124/abstr.html#latest

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zbMATH Keywords

mountain pass theoremEkeland's variational principleKlein-Gordon-Maxwell systemnonhomogeneous

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (6)

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 high energy solutions for the generalized Chern-Simons-Schrödinger system ⋮ Multiple solutions for the Klein-Gordon-Maxwell system with steep potential well ⋮ Infinitely many solutions for a gauged nonlinear Schrödinger equation with a perturbation ⋮ MULTIPLE SOLUTIONS FOR A NONHOMOGENEOUS SCHRÖDINGER-POISSON SYSTEM WITH CONCAVE AND CONVEX NONLINEARITIES

Cites Work

• Multiplicity of solutions for a nonlinear Klein-Gordon-Maxwell system
• Ground-state solutions for the electrostatic nonlinear Klein-Gordon-Maxwell system
• Solitary waves for the Klein-Gordon-Maxwell system with critical exponent
• Schrödinger-Poisson equations without Ambrosetti-Rabinowitz condition
• Infinitely many solutions for a nonlinear Klein-Gordon-Maxwell system
• On the existence of solutions for the Schrödinger-Poisson equations
• Positive solutions for Schrödinger-Poisson equations with a critical exponent
• Solitons and the electromagnetic field
• The nonlinear Klein-Gordon equation coupled with the Maxwell equations.
• 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
• Existence and multiplicity of solutions for Schrödinger-Poisson equations with sign-changing potential
• Solitary waves for Klein-Gordon-Maxwell system with external Coulomb potential
• Improved estimates and a limit case for the electrostatic Klein–Gordon–Maxwell system
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• Solutions concentrating around the saddle points of the potential for critical Schrödinger equations
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