American Institute of Mathematical Sciences

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

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