Multiplicity of nontrivial solutions for a class of nonlocal elliptic operators systems of Kirchhoff type
type: Item
instance of: scholarly article
title: Multiplicity of nontrivial solutions for a class of nonlocal elliptic operators systems of Kirchhoff type
zbMATH Open document ID: 1474.35283
DOI: 10.1155/2014/953846
author: Yuping Cao
author: Chuanzhi Bai
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We investigate the existence and multiplicity of nontrivial solutions for a Kirchhoff type problem involving the nonlocal integrodifferential operators with homogeneous Dirichlet boundary conditions. The main tool used for obtaining our result is Morse theory.
Mathematics Subject Classification ID: 35J57
Mathematics Subject Classification ID: 35J50
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 7023389
Wikidata QID: Q59043085
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/953846
OpenAlex ID: W2165233625
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Mountain pass solutions for non-local elliptic operators
cites work: Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
cites work: Variational methods for non-local operators of elliptic type
cites work: The Brezis-Nirenberg type problem involving the square root of the Laplacian
cites work: On some critical problems for the fractional Laplacian operator
cites work: Existence results for non-local operators of elliptic type
cites work: A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian
cites work: The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
cites work: New existence and multiplicity of nontrivial solutions for nonlocal elliptic Kirchhoff type problems
cites work: Multiple nontrivial solutions to a \(p\)-Kirchhoff equation
cites work: A critical Kirchhoff type problem involving a nonlocal operator
cites work: Existence of positive solutions to \(p\)-Kirchhoff-type problem without compactness conditions
cites work: Quasilinear elliptic systems with critical Sobolev exponents in \(\mathbb {R}^N\)
cites work: Q3357929
cites work: Remarks on multiple nontrivial solutions for quasi-linear resonant problems
description: scientific article; zbMATH DE number 7023389