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An Embedding Lemma and Its Applications
Received:April 08, 2005
Revised:July 28, 2005
Key Words
:
elliptic equation
critical exponent
radial
nonradial.
Fund Project
:
Author Name
Affiliation
WANG Wen-zhi
Mathematics Laboratory
,
Shenzhen Polytechnic
,
Guangdong 518055
,
China
DI Ji-zheng
Department Mathematics
,
Zhejiang Industrial University
,
Zhejiang 310032
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:
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:
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Abstract
:
The article discusses an elliptic problem on a ball involving critical nonlinearities. Radial and nonradial solutions are given by establishing embedding theorems for symmetric functions of Sobolev space into weighted $L^p$ spaces.
Citation:
DOI
:
10.3770/j.issn:1000-341X.2007.04.050
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