Existence of multiple solutions for fourth-order elliptic problem
type: Item
instance of: scholarly article
title: Existence of multiple solutions for fourth-order elliptic problem
zbMATH Open document ID: 1474.35277
DOI: 10.1155/2014/780989
author: Hua Gu
author: Tianqing An
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: By using the variant fountain theorem, we study the existence of multiple solutions for a class of superquadratic fourth-order elliptic problem with Navier boundary value condition.
Mathematics Subject Classification ID: 35J40
Mathematics Subject Classification ID: 35J35
zbMATH DE Number: 7023048
Wikidata QID: Q59041372
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/780989
OpenAlex ID: W1990244589
cites work: Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
cites work: Global bifurcation and a theorem of Tarantello
cites work: A note on a semilinear elliptic problem
cites work: Nonlinear oscillations in a suspension bridge
cites work: Multiplicity results for a fourth-order semilinear elliptic problem
cites work: Three solutions of a fourth order elliptic problem via variational theorems of mixed type
cites work: Multiple nontrivial solutions for a floating beam equation via critical point theory
cites work: Existence results for some fourth-order nonlinear elliptic problems of local superlinearity and sublinearity.
cites work: Fourth-order Navier boundary value problem with combined nonlinearities
cites work: Existence of nontrivial solutions of an asymptotically linear fourth-order elliptic equation
cites work: Existence and multiplicity of solutions for a class of fourth-order elliptic equations in \(R^N\)
cites work: On sign-changing solution for a fourth-order asymptotically linear elliptic problem
cites work: Existence of solutions for some fourth-order nonlinear elliptic problems
cites work: Infinitely many solutions for fourth-order elliptic equations with general potentials
cites work: Variant fountain theorems and their applications
cites work: Multiplicity of solutions for a class of elliptic boundary value problems
cites work: Multiple solutions for a class of semilinear elliptic equations with general potentials
cites work: Infinitely many periodic solutions for subquadratic second-order Hamiltonian systems
cites work: Infinitely many periodic solutions for second order Hamiltonian systems
cites work: Dual variational methods in critical point theory and applications
description: scientific article; zbMATH DE number 7023048