Existence and Multiplicity of Nontrivial Solutions for a Class of Fourth-Order Elliptic Equations

Using the Fountain theorem and a version of the Local Linking theorem, we obtain some existence and multiplicity results for a class of fourth-order elliptic equations.

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Main Authors: Chun Li, Zeng-Qi Ou, Chun-Lei Tang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/597193
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author Chun Li
Zeng-Qi Ou
Chun-Lei Tang
author_facet Chun Li
Zeng-Qi Ou
Chun-Lei Tang
author_sort Chun Li
collection DOAJ
description Using the Fountain theorem and a version of the Local Linking theorem, we obtain some existence and multiplicity results for a class of fourth-order elliptic equations.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-ceded8c5ba4e48308c7c8dd34a0aa6b42025-02-03T05:53:46ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/597193597193Existence and Multiplicity of Nontrivial Solutions for a Class of Fourth-Order Elliptic EquationsChun Li0Zeng-Qi Ou1Chun-Lei Tang2School of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaSchool of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaSchool of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaUsing the Fountain theorem and a version of the Local Linking theorem, we obtain some existence and multiplicity results for a class of fourth-order elliptic equations.http://dx.doi.org/10.1155/2013/597193
spellingShingle Chun Li
Zeng-Qi Ou
Chun-Lei Tang
Existence and Multiplicity of Nontrivial Solutions for a Class of Fourth-Order Elliptic Equations
Abstract and Applied Analysis
title Existence and Multiplicity of Nontrivial Solutions for a Class of Fourth-Order Elliptic Equations
title_full Existence and Multiplicity of Nontrivial Solutions for a Class of Fourth-Order Elliptic Equations
title_fullStr Existence and Multiplicity of Nontrivial Solutions for a Class of Fourth-Order Elliptic Equations
title_full_unstemmed Existence and Multiplicity of Nontrivial Solutions for a Class of Fourth-Order Elliptic Equations
title_short Existence and Multiplicity of Nontrivial Solutions for a Class of Fourth-Order Elliptic Equations
title_sort existence and multiplicity of nontrivial solutions for a class of fourth order elliptic equations
url http://dx.doi.org/10.1155/2013/597193
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AT zengqiou existenceandmultiplicityofnontrivialsolutionsforaclassoffourthorderellipticequations
AT chunleitang existenceandmultiplicityofnontrivialsolutionsforaclassoffourthorderellipticequations