On the solvability of an indefinite nonlinear Kirchhoff equation via associated eigenvalue problems
From MaRDI portal
Publication:2180567
DOI10.1016/j.jde.2020.02.017zbMath1444.35071arXiv1910.07687OpenAlexW3006342147MaRDI QIDQ2180567
Tiexiang Li, Han-Su Zhang, Tsung-fang Wu
Publication date: 14 May 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.07687
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items
Sign-changing solutions for Kirchhoff-type equations with indefinite nonlinearities, Positive solutions for the Kirchhoff-type equation with Hartree nonlinearities, On indefinite Kirchhoff-type equations under the combined effect of linear and superlinear terms
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and concentration result for the Kirchhoff type equations with general nonlinearities
- Existence of ground state solutions to the nonlinear Kirchhoff type equations with potentials
- Existence and concentration of positive solutions for Kirchhoff-type problems with a steep well potential
- The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
- Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
- Existence and asymptotic behavior of nodal solutions for the Kirchhoff-type problems in \(\mathbb{R}^3\)
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Positive solutions for nonlinear Schrödinger equations with deepening potential well
- A priori bounds and multiple solutions for superlinear indefinite elliptic problems
- The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
- Existence of multiple solutions of critical quasilinear elliptic Neumann problems
- Sign-changing multi-bump solutions for Kirchhoff-type equations in \(\mathbb{R}^3\)
- Existence and concentrating behavior of solutions for Kirchhoff type equations with steep potential well
- Minimax theorems
- Multibump solutions of nonlinear Schrödinger equations with steep potential well and indefinite potential
- Positive solutions of a superlinear Kirchhoff type equation in \(\mathbb{R}^N\) \((N \geq 4)\)
- Steep potential well may help Kirchhoff type equations to generate multiple solutions
- Ground states for Kirchhoff equations without compact condition
- Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials
- Ground state solutions for an indefinite Kirchhoff type problem with steep potential well
- Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
- Multi-bump solutions for Choquard equation with deepening potential well
- Multi-bump solutions for a Kirchhoff-type problem
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- On a Class of Nonlinear Second-Order Differential Equations
- On a Class of Schrödinger-Type Equations with Indefinite Weight Functions
- Positive solutions for the p-Laplacian: application of the fibrering method
- NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
- Existence and multiplicity results for some superlinear elliptic problems on RN
- GLOBAL BRANCH OF SOLUTIONS FOR NON-LINEAR SCHRÖDINGER EQUATIONS WITH DEEPENING POTENTIAL WELL
- On harnack type inequalities and their application to quasilinear elliptic equations
- On a Kirchhoff type problems with potential well and indefinite potential
- Existence and multiplicity of solutions for an indefinite Kirchhoff-type equation in bounded domains
- Existence of positive solutions for a class of indefinite elliptic problems in \(\mathbb{R}^N\)
