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Multiplicity of Solutions for Perturbed Nonhomogeneous Neumann Problem through Orlicz-Sobolev Spaces

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成果类型:
期刊论文
作者:
Yang, Liu*
通讯作者:
Yang, Liu
作者机构:
[Yang, Liu] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China.
通讯机构:
[Yang, Liu] H
Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China.
语种:
英文
关键词:
We investigate the existence of multiple solutions for a class of nonhomogeneous Neumann problem with a perturbed term. By using variational methods and three critical point theorems of B. Ricceri;we establish some new sufficient conditions under which such a problem possesses three solutions in an appropriate Orlicz-Sobolev space. Published: 2012 First available in Project Euclid: 5 April 2013 zbMATH: 1256.49011 MathSciNet: MR2984020 Digital Object Identifier: 10.1155/2012/236712
期刊:
Abstract and Applied Analysis
ISSN:
1085-3375
年:
2012
卷:
2012
期:
SI07
页码:
1-10
基金类别:
Natural Science Foundation of Hunan ProvinceNatural Science Foundation of Hunan Province [12JJ9001]; Hunan Provincial Science and Technology Department of Science and Technology Project [2012SK3117]; Hengyang Normal University Doctoral Science Foundation [11B35]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
We investigate the existence of multiple solutions for a class of nonhomogeneous Neumann problem with a perturbed term. By using variational methods and three critical point theorems of B. Ricceri, we establish some new sufficient conditions under which such a problem possesses three solutions in an appropriate...

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