Infinitely many solutions for the Klein-Gordon equation with sublinear nonlinearity coupled with Born-Infeld theory

DOI10.1007/s41980-019-00314-3zbMath1448.35205OpenAlexW2984745805WikidataQ126842703 ScholiaQ126842703MaRDI QIDQ2196429

Guofeng Che, Haibo Chen

Publication date: 2 September 2020

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-019-00314-3

zbMATH Keywords

Klein-Gordon equationsublinear nonlinearityexistence of negative-energy solutions

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items

EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR KIRCHHOFF-SCHRÖDINGER-POISSON SYSTEM WITH CONCAVE AND CONVEX NONLINEARITIES ⋮ On the solitary solutions for the nonlinear Klein-Gordon equation coupled with Born-Infeld theory ⋮ Existence and multiplicity of sign-changing solutions for Klein-Gordon equation coupled with Born-Infeld theory with subcritical exponent ⋮ Nontrivial solution for Klein-Gordon equation coupled with Born-Infeld theory with critical growth ⋮ Unnamed Item ⋮ Existence and multiplicity of positive solutions for Kirchhoff-Schrödinger-Poisson system with critical growth ⋮ Existence and concentration of solutions for the sublinear fractional Schrödinger-Poisson system ⋮ EXISTENCE AND CONCENTRATION RESULT FOR KIRCHHOFF EQUATIONS WITH CRITICAL EXPONENT AND HARTREE NONLINEARITY

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nontrivial solutions for Kirchhoff-type problems with a parameter
• Generalized quasilinear asymptotically periodic Schrödinger equations with critical growth
• Existence of solitary wave solutions for the nonlinear Klein-Gordon equation coupled with Born-Infeld theory with critical Sobolev exponent
• Infinitely many homoclinic orbits for Hamiltonian systems with indefinite sign subquadratic potentials
• Existence results for the Klein-Gordon-Maxwell equations in higher dimensions with critical exponents
• Critical point theory and Hamiltonian systems
• Solitons and the electromagnetic field
• Quasi-linear Schrödinger-Poisson system under an exponential critical nonlinearity: existence and asymptotic behaviour of solutions
• Infinitely many solutions of systems of Kirchhoff-type equations with general potentials
• Existence and non-existence of solitary waves for the critical Klein-Gordon equation coupled with Maxwell's equations
• Minimax theorems
• Multiple solutions for the nonhomogeneous Klein-Gordon equation coupled with Born-Infeld theory on \(\mathbf R^3\)
• Existence and concentration of positive ground states for a 1-Laplacian problem in \(\mathbb{R}^N\)
• Existence and multiplicity of solutions for a class of generalized quasilinear Schrödinger equations
• Multiple solutions for superlinear Schrödinger-Poisson system with sign-changing potential and nonlinearity
• The existence of multiple solutions for the Klein-Gordon equation with concave and convex nonlinearities coupled with Born-Infeld theory on \(\mathbf{R}^3\)
• Existence and multiplicity of solutions for the nonlinear Klein-Gordon equation coupled with Born-Infeld theory on bounded domain
• SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
• Coupled Klein—Gordon and Born—Infeld-type equations: looking for solitary waves
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• Existence and multiplicity of positive solutions for fractional Laplacian systems with nonlinear coupling
• EXISTENCE AND MULTIPLICITY OF NONTRIVIAL SOLUTIONS FOR KLEIN-GORDON-MAXWELL SYSTEM WITH A PARAMETER
• INFINITELY MANY SOLUTIONS FOR A CLASS OF MODIFIED NONLINEAR FOURTH-ORDER ELLIPTIC EQUATIONS ON ℝ^N