Bound state solutions for Kirchhoff type equations in dimension two
type: Item
instance of: scholarly article
title: Bound state solutions for Kirchhoff type equations in dimension two
zbMATH Open document ID: 1480.35239
author: Jian Zhang
author: Huize Liu
author: Xue Bao
published in: Journal of Mathematical Analysis and Applications
publication date: 2021-12-13T00:00:00Z
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 7442648
zbMATH Keywords: Kirchhoff-type equation
zbMATH Keywords: existence
zbMATH Keywords: variational method
MaRDI profile type: Publication
full work available at URL: j.jmaa.2021.125796
OpenAlex ID: W3213316489
cites work: Bending and stretching energies in a rectangular plate modeling suspension bridges
cites work: A note on the elliptic Kirchhoff equation in ℝNperturbed by a local nonlinearity
cites work: On the existence of a positive solution of semilinear elliptic equations in unbounded domains
cites work: Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
cites work: Positive bound state solutions for some Schrödinger-Poisson systems
cites work: The effect of concentrating potentials in some singularly perturbed problems
cites work: Positive solutions for some non-autonomous Schrödinger-Poisson systems
cites work: Ground state solutions for Kirchhoff-type equations with general nonlinearity in low dimension
cites work: On the planar Schrödinger-Poisson system
cites work: Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
cites work: \(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth
cites work: Solutions concentrating around the saddle points of the potential for two-dimensional Schrödinger equations
cites work: Bound state solutions for some non-autonomous asymptotically cubic Schrödinger-Poisson systems
cites work: Existence and concentration result for the Kirchhoff type equations with general nonlinearities
cites work: Existence of ground state solutions to the nonlinear Kirchhoff type equations with potentials
cites work: A positive solution for a nonlinear Schroedinger equation on R^N
cites work: Positive solutions of asymptotically linear equations via Pohozaev manifold
cites work: Bound states of a nonhomogeneous nonlinear Schrödinger equation with non symmetric potential
cites work: The concentration-compactness principle in the calculus of variations. The limit case. II
cites work: Q4189540
cites work: Uniqueness of ground states for quasilinear elliptic equations
cites work: Symmetry of ground states of quasilinear elliptic equations
cites work: Q4714152
cites work: Bound state solutions of Kirchhoff type problems with critical exponent
cites work: Existence and Concentration of Positive Solutions for Nonlinear Kirchhoff-Type Problems with a General Critical Nonlinearity
cites work: Bound state solutions of Schrödinger-Poisson system with critical exponent
DOI: 10.1016/J.JMAA.2021.125796
description: scientific article; zbMATH DE number 7442648