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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

Jinhui Chen 1, and  Haitao Yang 1,

1. 

Department of Mathematics, Zhejiang University, Hangzhou 310027, China

Received  January 2006 Revised  September 2006 Published  December 2006

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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