On the existence of solutions for a class of Schrödinger-Kirchhoff-type equations with sign-changing potential
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Publication:2163597
DOI10.1155/2022/1735888zbMath1497.35144OpenAlexW4283271978MaRDI QIDQ2163597
Shengzhong Duan, Jianwen Zhou, Guocui Yang
Publication date: 10 August 2022
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2022/1735888
Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09)
Cites Work
- Unnamed Item
- Existence of a positive solution to Kirchhoff-type problems without compactness conditions
- Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
- 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 \(\mathbb R^3\)
- Nontrivial solutions of Kirchhoff-type problems via the Yang index
- Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
- Bound states for semilinear Schrödinger equations with sign-changing potential
- Nontrivial solutions of a class of nonlocal problems via local linking theory
- Multiplicity of solutions for a class of Kirchhoff type problems
- Positive solutions for a Kirchhoff-type problem involving multiple competitive potentials and critical Sobolev exponent
- Existence and asymptotic behavior of positive solutions for Kirchhoff type problems with steep potential well
- Bifurcation results for a Kirchhoff type problem involving sign-changing weight functions
- 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 \(\mathbb{R}^3\)
- Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition
- Infinitely many positive solutions for Kirchhoff-type problems
- Existence of ground state solutions for a super-biquadratic Kirchhoff-type equation with steep potential well
- Sign-changing critical points from linking type theorems
- Existence and multiplicity results for some superlinear elliptic problems on RN