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Infinitely many solutions for p-Laplacian equation involving critical Sobolev growth

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成果类型:
期刊论文
作者:
Cao, Daomin;Peng, Shuangjie*彭双阶);Yan, Shusen
通讯作者:
Peng, Shuangjie(彭双阶
作者机构:
[Cao, Daomin] Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China.
[Peng, Shuangjie] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Cao, Daomin] Chinese Acad Sci, Key Lab Random Complex Struct & Data Sci, Beijing 100190, Peoples R China.
[Yan, Shusen] Univ New England, Dept Math, Armidale, NSW 2351, Australia.
通讯机构:
[Peng, Shuangjie] C
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Critical Sobolev growth;Infinitely many solutions;p-Laplacian equations
期刊:
Journal of Functional Analysis
ISSN:
0022-1236
年:
2012
卷:
262
期:
6
页码:
2861-2902
基金类别:
Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [10721101, 11071092, 11125101]; ARC in AustraliaAustralian Research Council
机构署名:
本校为通讯机构
院系归属:
数学与统计学学院
摘要:
In this paper, we will prove the existence of infinitely many solutions for the following elliptic problem with critical Sobolev growth: -Delta(p)u = vertical bar u vertical bar(p)*(-2)u + mu vertical bar u vertical bar(p-2)u in Omega, u =0 on partial derivative Omega, provided N > p(2) + p, where Delta(p) is the p-Laplacian operator, 1 < p < N, p* = pN/N-p, mu > 0 and Omega is an open bounded domain i...

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