Existence of Multiple Solutions for a Class of Biharmonic Equations

By a symmetric Mountain Pass Theorem, a class of biharmonic equations with Navier type boundary value at the resonant and nonresonant case are discussed, and infinitely many solutions of the equations are obtained.

Bibliographic Details
Main Authors: Chunhan Liu, Jianguo Wang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2013/809262
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spelling doaj-95362148386c4cf2a261b18456ceac2a2020-11-24T22:29:15ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/809262809262Existence of Multiple Solutions for a Class of Biharmonic EquationsChunhan Liu0Jianguo Wang1Department of Mathematics, Qilu Normal University, Jinan 250013, ChinaDepartment of Mathematics, Qilu Normal University, Jinan 250013, ChinaBy a symmetric Mountain Pass Theorem, a class of biharmonic equations with Navier type boundary value at the resonant and nonresonant case are discussed, and infinitely many solutions of the equations are obtained.http://dx.doi.org/10.1155/2013/809262
collection DOAJ
language English
format Article
sources DOAJ
author Chunhan Liu
Jianguo Wang
spellingShingle Chunhan Liu
Jianguo Wang
Existence of Multiple Solutions for a Class of Biharmonic Equations
Discrete Dynamics in Nature and Society
author_facet Chunhan Liu
Jianguo Wang
author_sort Chunhan Liu
title Existence of Multiple Solutions for a Class of Biharmonic Equations
title_short Existence of Multiple Solutions for a Class of Biharmonic Equations
title_full Existence of Multiple Solutions for a Class of Biharmonic Equations
title_fullStr Existence of Multiple Solutions for a Class of Biharmonic Equations
title_full_unstemmed Existence of Multiple Solutions for a Class of Biharmonic Equations
title_sort existence of multiple solutions for a class of biharmonic equations
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2013-01-01
description By a symmetric Mountain Pass Theorem, a class of biharmonic equations with Navier type boundary value at the resonant and nonresonant case are discussed, and infinitely many solutions of the equations are obtained.
url http://dx.doi.org/10.1155/2013/809262
work_keys_str_mv AT chunhanliu existenceofmultiplesolutionsforaclassofbiharmonicequations
AT jianguowang existenceofmultiplesolutionsforaclassofbiharmonicequations
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