Ground state sign-changing solutions for the Schrödinger-Kirchhoff equation in \(\mathbb{R}^3\)
From MaRDI portal
Publication:724719
DOI10.1016/j.jmaa.2018.06.071zbMath1398.35067OpenAlexW2809704317MaRDI QIDQ724719
Kun Cheng, Li Wang, Binlin Zhang
Publication date: 26 July 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.06.071
Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)
Related Items (23)
Least energy sign-changing solutions for Kirchhoff-type problems with potential well ⋮ Ground state sign-changing solutions for Schrödinger–Kirchhoff-type problem with critical growth ⋮ Existence of least energy nodal solution for Kirchhoff-Schrödinger-Poisson system with potential vanishing ⋮ Existence of least energy nodal solution for Kirchhoff-type system with Hartree-type nonlinearity ⋮ The existence of sign-changing solutions for Schrödinger-Kirchhoff problems in \(\mathbb{R}^3\) ⋮ Sign-changing solutions for a class of \(p\)-Laplacian Kirchhoff-type problem with logarithmic nonlinearity ⋮ Least energy sign-changing solutions of fractional Kirchhoff-Schrödinger-Poisson system with critical growth ⋮ Existence of sign-changing solutions for Kirchhoff equations with critical or supercritical nonlinearity ⋮ Least energy nodal solution for Kirchhoff type problem with an asymptotically 4-linear nonlinearity ⋮ Sign-changing solutions for quasilinear elliptic equation with critical exponential growth ⋮ Existence of ground state sign-changing solutions of fractional Kirchhoff-type equation with critical growth ⋮ Sign-changing solutions to a \(N\)-Kirchhoff equation with critical exponential growth in \(\mathbb{R}^N\) ⋮ Sign-changing solutions for the boundary value problem involving the fractional \(p\)-Laplacian ⋮ The existence of least energy sign-changing solution for Kirchhoff-type problem with potential vanishing at infinity ⋮ Existence of sign-changing solutions for \(p(x)\)-Laplacian Kirchhoff type problem in \(\mathbb{R}^N\) ⋮ Ground state solutions for quasilinear Schrödinger equations with variable potential and superlinear reaction ⋮ Least energy sign-changing solutions of Kirchhoff-type equation with critical growth ⋮ Least energy sign-changing solutions for fourth-order Kirchhoff-type equation with potential vanishing at infinity ⋮ Multiplicity of sign-changing solutions for Kirchhoff-type equations ⋮ Sign-changing solutions for Schrödinger-Kirchhoff-type fourth-order equation with potential vanishing at infinity ⋮ Nodal solutions for a critical Kirchhoff type problem in \(\mathbb{R}^N\) ⋮ Multiple localized nodal solutions of high topological type for Kirchhoff-type equation with double potentials ⋮ Least-energy sign-changing solutions for Kirchhoff-Schrödinger-Poisson systems in \(\mathbb{R}^3\)
Cites Work
- Unnamed Item
- Ground state sign-changing solutions for Kirchhoff type problems in bounded domains
- Existence and concentration result for the Kirchhoff type equations with general nonlinearities
- Multiple positive solutions for Kirchhoff type of problems with singularity and critical exponents
- The elliptic Kirchhoff equation in \(\mathbb {R}^{N}\) perturbed by a local nonlinearity.
- Signed and sign-changing solutions for a Kirchhoff-type equation in bounded domains
- A sign-changing solution for the Schrödinger-Poisson equation in \(\mathbb R^3\)
- Sign-changing solutions of a class of nonlocal quasilinear elliptic boundary value problems
- 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 \(\mathbb{R}^3\)
- Nontrivial solutions of Kirchhoff-type problems via the Yang index
- Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
- Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
- Sign-changing solutions of nonlinear elliptic equations
- Global solvability for the degenerate Kirchhoff equation with real analytic data
- A sign-changing solution for a superlinear Dirichlet problem
- Improved results for Klein-Gordon-Maxwell systems with general nonlinearity
- Ground state solutions for asymptotically periodic Kirchhoff-type equations with asymptotically cubic or super-cubic nonlinearities
- Minimax theorems
- Existence of least energy nodal solution for a Schrödinger-Poisson system in bounded domains
- Dual variational methods in critical point theory and applications
- Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
- Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials
- Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
- Three nodal solutions of singularly perturbed elliptic equations on domains without topology
- Existence of solutions for Kirchhoff type problems with critical nonlinearity 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 and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
- Concentrating Bound States for Kirchhoff Type Problems in ℝ3 Involving Critical Sobolev Exponents
- Sign Changing Solutions of Superlinear Schrödinger Equations
- Solutions for Quasilinear Schrödinger Equations via the Nehari Method
- Positive and Nodal Solutions For a Nonlinear Schrödinger Equation with Indefinite Potential
- On a class of nonlocal nonlinear elliptic problems
- On the Well-Posedness of the Kirchhoff String
- A note on the elliptic Kirchhoff equation in ℝNperturbed by a local nonlinearity
This page was built for publication: Ground state sign-changing solutions for the Schrödinger-Kirchhoff equation in \(\mathbb{R}^3\)
