Least energy sign-changing solutions for Kirchhoff-type problems with potential well

DOI10.1063/5.0055762OpenAlexW4281746955MaRDI QIDQ5883514

Publication date: 21 March 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0055762

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09)

Cites Work

Ground state sign-changing solutions for Kirchhoff type problems in bounded domains
A sign-changing solution for the Schrödinger-Poisson equation in \(\mathbb R^3\)
Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
Ground state sign-changing solutions for the Schrödinger-Kirchhoff equation in \(\mathbb{R}^3\)
Nonlinear scalar field equations. I: Existence of a ground state
Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
Global solvability for the degenerate Kirchhoff equation with real analytic data
Existence of solitary waves in higher dimensions
Positive solutions for the Kirchhoff-type problem involving general critical growth. I: Existence theorem involving general critical growth.
Minimax theorems
Infinitely many sign-changing solutions to Kirchhoff-type equations
Multiplicity of sign-changing solutions for a supercritical nonlinear Schrödinger equation
Least energy nodal solution for Kirchhoff type problem with an asymptotically 4-linear nonlinearity
Existence of sign-changing solutions for nonlocal Kirchhoff-Schrödinger-type equations in \(\mathbb{R}^3\)
Sign-changing and nontrivial solutions for a class of Kirchhoff-type problems
Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
Positive solutions for Kirchhoff-type equations with critical exponent in \(\mathbb{R}^N\)
Existence of positive ground state solutions for Kirchhoff type problems
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
Positive and Nodal Solutions For a Nonlinear Schrödinger Equation with Indefinite Potential
On the Well-Posedness of the Kirchhoff String
Multiple sign-changing solutions for nonlinear Schrödinger equations with potential well
NON-NEHARI-MANIFOLD METHOD FOR ASYMPTOTICALLY LINEAR SCHRÖDINGER EQUATION
Ground state sign-changing solutions for asymptotically 3-linear Kirchhoff-type problems
Ground state solution for a class of Schrödinger equations involving general critical growth term

This page was built for publication: Least energy sign-changing solutions for Kirchhoff-type problems with potential well