Infinitely many radial and non-radial sign-changing solutions for Schrödinger equations
type: Item
instance of: scholarly article
title: Infinitely many radial and non-radial sign-changing solutions for Schrödinger equations
zbMATH Open document ID: 1485.35146
author: Gui-Dong Li
author: Yong-Yong Li
author: Chun-Lei Tang
published in: Advances in Nonlinear Analysis
publication date: 2022-03-21T00:00:00Z
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 35J91
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 7493793
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: existence of infitely many solutions
zbMATH Keywords: variational methods
MaRDI profile type: Publication
full work available at URL: anona-2021-0221
OpenAlex ID: W4214687120
cites work: Separation of center of mass in homogeneous magnetic fields
cites work: Semilinear elliptic equations for beginners. Existence results via the variational approach
cites work: On a superlinear elliptic \(p\)-Laplacian equation.
cites work: Sign Changing Solutions of Superlinear Schrödinger Equations
cites work: Nodal solutions of a p-Laplacian equation
cites work: NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
cites work: Existence and multiplicity results for some superlinear elliptic problems on RN
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: Nonlinear scalar field equations. II: Existence of infinitely many solutions
cites work: Infinitely many bound states for some nonlinear scalar field equations
cites work: Infinitely many solutions for the Schrödinger equations in \(\mathbb R^N\) with critical growth
cites work: Uniqueness of the ground state solution for \(\Delta u - u + u^3=0\) and a variational characterization of other solutions
cites work: Homoclinic type solutions for a semilinear elliptic PDE on ℝn
cites work: Hartree-Fock theory in nuclear physics
cites work: Infinitely many sign-changing solutions for a Schrödinger equation in \(\mathbb{R}^n\)
cites work: Q5526485
cites work: Existence and asymptotic behavior of ground state solutions for Schrödinger equations with Hardy potential and Berestycki-Lions type conditions
cites work: Symétrie et compacité dans les espaces de Sobolev
cites work: Multiple mixed states of nodal solutions for nonlinear Schrödinger systems
cites work: Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations
cites work: Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
cites work: Existence and multiplicity of sign-changing standing waves for a gauged nonlinear Schrödinger equation in $ \newcommand{\R}{\bf {\mathbb R}} \R^2$
cites work: Nonradial solutions of nonlinear scalar field equations
cites work: Q5328310
cites work: The principle of symmetric criticality
cites work: Construction of solutions via local Pohozaev identities
cites work: Q3749777
cites work: Boundary value problems for a class of nonlinear differential equations
cites work: Infinitely many solutions for a nonlinear Schrödinger equation with general nonlinearity
cites work: Q4933737
cites work: The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field
cites work: Infinitely many sign-changing solutions for Kirchhoff type problems in \(\mathbb{R}^3\)
cites work: Ground state solutions for some indefinite variational problems
cites work: Infinitely many solutions for semilinear Schrödinger equations with sign-changing potential and nonlinearity
cites work: Ground state solutions of Nehari-Pankov type for Schrödinger equations with local super-quadratic conditions
cites work: Minimax theorems
DOI: 10.1515/ANONA-2021-0221
description: scientific article; zbMATH DE number 7493793