Infinitely many bound state solutions of Kirchhoff problem in \(\mathbb R^3\)
type: Item
instance of: scholarly article
title: Infinitely many bound state solutions of Kirchhoff problem in \(\mathbb R^3\)
zbMATH Open document ID: 1337.35056
author: Shiwang Ma
author: Xu Zhang
author: Qilin Xie
published in: Nonlinear Analysis. Real World Applications
publication date: 2015-12-30T00:00:00Z
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35R09
zbMATH DE Number: 6524692
zbMATH Keywords: Kirchhoff type problem
zbMATH Keywords: bound state solutions
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2015.10.010
OpenAlex ID: W2172642261
cites work: Q4189540
cites work: On existence of solutions for a class of problems involving a nonlinear operator
cites work: On the Well-Posedness of the Kirchhoff String
cites work: Nontrivial solutions of Kirchhoff-type problems via the Yang index
cites work: Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
cites work: Multiple positive solutions to a class of Kirchhoff equation on \(\mathbb R^3\) with indefinite nonlinearity
cites work: Existence of a positive solution to Kirchhoff-type problems without compactness conditions
cites work: Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
cites work: Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
cites work: Existence and concentration result for the Kirchhoff type equations with general nonlinearities
cites work: Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
cites work: The critical problem of Kirchhoff type elliptic equations in dimension four
cites work: On a class of nonlocal elliptic problems with critical growth
cites work: Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
cites work: Ground states for nonlinear Kirchhoff equations with critical growth
cites work: Existence and multiplicity of solutions for Kirchhoff type problem with critical exponent
cites work: Positive solutions of Kirchhoff type elliptic equations involving a critical Sobolev exponent
cites work: Existence and multiplicity of non-trivial solutions for Schrödinger-Kirchhoff-type equations with radial potential
cites work: Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
cites work: Infinitely many bound states for some nonlinear scalar field equations
cites work: Minimax theorems
cites work: A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. II
cites work: Q4714152
cites work: Infinite dimensional Morse theory and multiple solution problems
DOI: 10.1016/J.NONRWA.2015.10.010
description: scientific article; zbMATH DE number 6524692