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Infinitely many solutions for hardysobolevmaz'ya equation involving critical growth

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成果类型:
期刊论文
作者:
Wang, Chunhua*;Wang, Jiangtao
通讯作者:
Wang, Chunhua
作者机构:
[Wang, Chunhua] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Wang, Jiangtao] Zhongnan Univ Econ & Law, Sch Math & Stat, Wuhan 430073, Peoples R China.
通讯机构:
[Wang, Chunhua] C
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Hardy–Sobolev–Maz'ya equation;infinitely many solutions;variational methods
期刊:
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
ISSN:
0219-1997
年:
2012
卷:
14
期:
6
页码:
1250044
基金类别:
The authors sincerely thank Professors S. Peng and G. Li for their helpful discussions and suggestions. This paper was partially supported by NSFC (No. 11071092; No. 11071095; No. 11101171) and the Ph.D. specialized grant of the Ministry of Education of China (20110144110001). C. Wang is partially supported by the State Scholarship Fund of CSC (2011677017) and excellent doctorial dissertation cultivation grant from Huazhong Normal University.
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
In this paper, by an approximating argument, we obtain infinitely many solutions for the following Hardy–Sobolev–Maz'ya equation with critical growth: provided N > 6 + t, where when k > 2, λ = 0 when k = 2, and Ω is an open bounded domain in ℝN, which contain...

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