Multiple solutions for nonhomogeneous Klein-Gordon equation with sign-changing potential coupled with Born-Infeld theory
From MaRDI portal
Publication:6615054
DOI10.11948/20230034MaRDI QIDQ6615054
Lixia Wang, Dong Zhang, Chunlian Xiong
Publication date: 8 October 2024
Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)
Klein-Gordon equationBorn-Infeld theoryEkeland's variational principlesign-changing potentialnonhomogeneous
Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of solitary wave solutions for the nonlinear Klein-Gordon equation coupled with Born-Infeld theory with critical Sobolev exponent
- Schrödinger-Poisson equations without Ambrosetti-Rabinowitz condition
- Solitary waves for nonlinear Klein-Gordon equations coupled with Born-Infeld theory
- Bound states for semilinear Schrödinger equations with sign-changing potential
- Solitons and the electromagnetic field
- Minimax theorems
- Multiple solutions for the nonhomogeneous Klein-Gordon equation coupled with Born-Infeld theory on \(\mathbf R^3\)
- Ground state solution for the nonlinear Klein-Gordon equation coupled with Born-Infeld theory with critical exponents
- Existence and multiplicity of solutions for Schrödinger-Poisson equations with sign-changing potential
- 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 sign-changing solutions for Klein-Gordon equation coupled with Born-Infeld theory with subcritical exponent
- Existence and multiplicity of solutions for the nonlinear Klein-Gordon equation coupled with Born-Infeld theory on bounded domain
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Coupled Klein—Gordon and Born—Infeld-type equations: looking for solitary waves
- On the quantum theory of the electromagnetic field
- Modified Field Equations with a Finite Radius of the Electron
- Foundations of the new field theory
- Born–Infeld type equations for electrostatic fields
- Existence and multiplicity results for some superlinear elliptic problems on RN
- Classical solutions in the Born—Infeld theory
- Solitary wave of ground state type for a nonlinear Klein–Gordon equation coupled with Born–Infeld theory in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi mathvariant="normal">ℝ</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>
- Solutions concentrating around the saddle points of the potential for critical Schrödinger equations
This page was built for publication: Multiple solutions for nonhomogeneous Klein-Gordon equation with sign-changing potential coupled with Born-Infeld theory