A result on Hardy-Sobolev critical elliptic equations with boundary singularities

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March 2007, 6(1): 191-201. doi: 10.3934/cpaa.2007.6.191

A result on Hardy-Sobolev critical elliptic equations with boundary singularities

1.	Department of Mathematics, Zhejiang University, Hangzhou 310027, China

Received January 2006 Revised September 2006 Published December 2006

Abstract
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In this note, a Hardy-Sobolev critical elliptic equation with boundary singularities and sublinear perturbation is studied. We obtain a result on the existence of classical solution and the multiplicity of weak solutions by making use of sub-super solutions and variational methods.

Keywords: Hardy-Sobolev critical exponent, sublinear perturbation., boundary singularity.

Mathematics Subject Classification: Primary: 35j05, 35j25; Secondary: 35B4.

Citation: Jinhui Chen, Haitao Yang. A result on Hardy-Sobolev critical elliptic equations with boundary singularities. Communications on Pure & Applied Analysis, 2007, 6 (1) : 191-201. doi: 10.3934/cpaa.2007.6.191

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