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Existence and multiplicity of positive solutions for some Hardy-Sobolev critical elliptic equation with boundary singularities

Authors:	Yan-Ying Shang

Institution:	School of Mathematics and Statistics, Southwest University, Chongqing 400715, People’s Republic of China

Abstract:	In this paper, by Ekeland’s variational principle and strong maximum principle, we consider the existence and multiplicity of positive solutions for some semilinear elliptic equation involving critical Hardy-Sobolev exponents and Hardy terms with boundary singularities.

Keywords:	Critical Hardy-Sobolev exponent Ekeland&rsquo s variational principle Boundary singularities Positive solution Strong maximum principle
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