Sign-changing multi-bump solutions for Kirchhoff-type equations in \(\mathbb{R}^3\)
type: Item
instance of: scholarly article
title: Sign-changing multi-bump solutions for Kirchhoff-type equations in \(\mathbb{R}^3\)
zbMATH Open document ID: 1398.35051
author: Yinbin Deng
author: Wei Shuai
published in: Discrete and Continuous Dynamical Systems
publication date: 2018-08-16T00:00:00Z
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 6919372
zbMATH Keywords: Kirchhoff-type equations
zbMATH Keywords: sign-changing multi-bump solutions
zbMATH Keywords: concentration behavior
MaRDI profile type: Publication
full work available at URL: dcds.2018137
OpenAlex ID: W2795922634
cites work: On existence of solutions for a class of problems involving a nonlinear operator
cites work: Multiplicity of multi-bump type nodal solutions for a class of elliptic problems in \(\mathbb{R}^N\)
cites work: Multi-bump solutions for a Kirchhoff-type problem
cites work: On the Well-Posedness of the Kirchhoff String
cites work: Existence and multiplicity results for some superlinear elliptic problems on RN
cites work: NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
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: A sign-changing solution for a superlinear Dirichlet problem
cites work: Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation
cites work: The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
cites work: Nehari's problem and competing species systems.
cites work: Global solvability for the degenerate Kirchhoff equation with real analytic data
cites work: Local mountain passes for semilinear elliptic problems in unbounded domains
cites work: Existence and asymptotic behavior of nodal solutions for the Kirchhoff-type problems in \(\mathbb{R}^3\)
cites work: Nodal standing waves for a gauged nonlinear Schrödinger equation in \(\mathbb{R}^2\)
cites work: Multiplicity of positive solutions of a nonlinear Schrödinger equation
cites work: Existence and concentration result for the Kirchhoff type equations with general nonlinearities
cites work: Existence of a nodal solution with minimal energy for a Kirchhoff equation
cites work: Existence of a least energy nodal solution for a Schrödinger-Kirchhoff equation with potential vanishing at infinity
cites work: Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
cites work: Concentrating bound states for Kirchhoff type problems in \({\mathbb R}^3\) involving critical Sobolev exponents
cites work: Standing waves for a class of Kirchhoff type problems in \(\mathbb R^3\) involving critical Sobolev exponents
cites work: Concentrating bounded states for a class of singularly perturbed Kirchhoff type equations with a general nonlinearity
cites work: Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
cites work: Q4189540
cites work: Signed and sign-changing solutions for a Kirchhoff-type equation in bounded domains
cites work: Nontrivial solutions of Kirchhoff-type problems via the Yang index
cites work: Sign-changing multi-bump solutions for nonlinear Schrödinger equations with steep potential wells
cites work: Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
cites work: Existence of solitary waves in higher dimensions
cites work: Ground state solutions for an indefinite Kirchhoff type problem with steep potential well
cites work: Ground state sign-changing solutions for Kirchhoff type problems in bounded domains
cites work: Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
cites work: Minimax theorems
cites work: The existence of least energy nodal solutions for some class of Kirchhoff equations and Choquard equations in \(\mathbb R^N\)
cites work: Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
DOI: 10.3934/DCDS.2018137
description: scientific article; zbMATH DE number 6919372