A global compactness result for singular elliptic problems involving critical Sobolev exponent

Authors:
Daomin Cao and Shuangjie Peng

Journal:
Proc. Amer. Math. Soc. **131** (2003), 1857-1866

MSC (2000):
Primary 35J60; Secondary 35B33

DOI:
https://doi.org/10.1090/S0002-9939-02-06729-1

Published electronically:
October 1, 2002

MathSciNet review:
1955274

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let be a bounded domain such that . Let be a (P.S.) sequence of the functional . We study the limit behaviour of and obtain a global compactness result.

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Additional Information

**Daomin Cao**

Affiliation:
Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, People’s Republic of China

Email:
dmcao@mail.amt.ac.cn

**Shuangjie Peng**

Affiliation:
Department of Mathematics, Xiao Gan University, Xiao Gan, People’s Republic of China – and – Institute of Applied Mathematics, AMSS., Chinese Academy of Sciences, Beijing 100080, People’s Republic of China

Email:
pengsj@mail.amss.ac.cn

DOI:
https://doi.org/10.1090/S0002-9939-02-06729-1

Keywords:
Palais-Smale sequence,
compactness,
Sobolev and Hardy critical exponents

Received by editor(s):
December 2, 2001

Received by editor(s) in revised form:
January 31, 2002

Published electronically:
October 1, 2002

Additional Notes:
The first author was supported by Special Funds For Major States Basic Research Projects of China (G1999075107) and Knowledge Innovation Funds of CAS in China.

The second author was supported by Knowledge Innovation Funds of CAS in China

Communicated by:
David S. Tartakoff

Article copyright:
© Copyright 2002
American Mathematical Society