Nontrivial solutions for a fourth-order elliptic equation of Kirchhoff type via Galerkin method
type: Item
instance of: scholarly article
title: Nontrivial solutions for a fourth-order elliptic equation of Kirchhoff type via Galerkin method
zbMATH Open document ID: 1395.35093
author: Fanglei Wang
author: Yuanfang Ru
author: Tianqing An
published in: Journal of Fixed Point Theory and Applications
publication date: 2018-07-18T00:00:00Z
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 6905263
zbMATH Keywords: nonlocal elliptic problem
zbMATH Keywords: biharmonic operator
zbMATH Keywords: Galerkin method
MaRDI profile type: Publication
full work available at URL: s11784-018-0553-2
OpenAlex ID: W2802414326
cites work: On existence of solutions for a class of problems involving a nonlinear operator
cites work: Q4431867
cites work: A generalization of an extensible beam equation with critical growth in \(\mathbb{R}^N\)
cites work: Q4816654
cites work: On a class of nonlocal elliptic problems via Galerkin method
cites work: Multiple positive solutions for singular \(n\)th-order nonlocal boundary value problems in Banach spaces
cites work: Nontrivial solutions for one-dimensional fourth-order Kirchhoff-type equations
cites work: Existence and uniqueness of positive solutions for fourth-order \(m\)-point boundary value problems with two parameters
cites work: Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
cites work: Ground state solutions and least energy sign-changing solutions for a class of fourth order Kirchhoff-type equations in \(\mathbb R^N\)
cites work: Q5890172
cites work: Existence results and numerical solutions for a beam equation with nonlinear boundary conditions.
cites work: Kirchhoff type problems in \(\mathbb{R}^N\) with radial potentials and locally Lipschitz functional
cites work: Sign-changing solutions of a class of nonlocal quasilinear elliptic boundary value problems
cites work: Some nonlocal elliptic problem involving positive parameter
cites work: Existence and multiplicity results for Kirchhoff problems
cites work: Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition
cites work: Nontrivial solutions of Kirchhoff-type problems via the Yang index
cites work: Nonlocal elliptic equations.
cites work: Multiplicity results for perturbed fourth-order Kirchhoff-type problems
cites work: Existence of solutions for fourth order elliptic equations of Kirchhoff type
cites work: Existence of solutions for fourth order elliptic equations of Kirchhoff type on RN
cites work: Q5794184
cites work: Positive solutions for a nonlocal fractional differential equation
cites work: Multiple solutions for the nonhomogeneous fourth order elliptic equations of Kirchhoff-type
cites work: Nontrivial solutions of fourth-order singular boundary value problems with sign-changing nonlinear terms
DOI: 10.1007/S11784-018-0553-2
description: scientific article; zbMATH DE number 6905263