The existence of nontrivial solutions for the critical Kirchhoff type problem in \(\mathbb R^N\)
type: Item
instance of: scholarly article
title: The existence of nontrivial solutions for the critical Kirchhoff type problem in \(\mathbb R^N\)
zbMATH Open document ID: 1400.35116
author: Jian Zhang
author: Yanju Ji
publication date: 2018-09-11T00:00:00Z
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35B33
zbMATH DE Number: 6934585
zbMATH Keywords: Kirchhoff type problem
zbMATH Keywords: critical growth
zbMATH Keywords: variational method
MaRDI profile type: Publication
full work available at URL: j.camwa.2017.08.006
OpenAlex ID: W2749117872
cites work: The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
cites work: Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
cites work: Infinitely many positive solutions for Kirchhoff-type problems
cites work: Positive solutions of Kirchhoff type elliptic equations involving a critical Sobolev exponent
cites work: The critical problem of Kirchhoff type elliptic equations in dimension four
cites work: Nontrivial solutions of Kirchhoff-type problems via the Yang index
cites work: Infinitely many radial solutions for Kirchhoff-type problems in \(\mathbb{R}^N\)
cites work: Existence of a positive solution to Kirchhoff-type problems without compactness conditions
cites work: Ground state solutions for an indefinite Kirchhoff type problem with steep potential well
cites work: Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
cites work: Nonlinear perturbations of a periodic Kirchhoff equation in \(\mathbb R^N\)
cites work: Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
cites work: On ground states for the Kirchhoff-type problem with a general critical nonlinearity
cites work: The Kirchhoff type Schrödinger problem with critical growth
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: Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
cites work: Positive solutions for Kirchhoff-type equations with critical exponent in \(\mathbb{R}^N\)
cites work: Existence and multiplicity of solutions for a superlinear Kirchhoff-type equations with critical Sobolev exponent in \(\mathbb R^N\)
cites work: Q3370597
cites work: Minimax theorems
cites work: Four positive solutions for the semilinear elliptic equation: \(-\Delta u+u=a(x) u^p +f(x)\) in \(\mathbb{R}^N\)
cites work: On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
cites work: Best constant in Sobolev inequality
DOI: 10.1016/J.CAMWA.2017.08.006
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 6934585