Volume no :3, Issue no: 2, November 2009

Journal of Mathematical Sciences: Advances and Applications

MULTIPLE POSITIVE SOLUTIONS FOR SEMILINEAR ELLIPTIC EQUATIONS INVOLVING HARDY TERMS AND CRITICAL SOBOLEV-HARDY EXPONENTS

Author's: Tsing-San Hsu
Pages: [243] - [266]
Received Date: May 9, 2009
Submitted by:

Abstract

In this paper, we study the multiplicity of positive solutions for semilinear elliptic equations with critical Sobolev-Hardy exponents and Hardy terms by variational methods and some analysis techniques.

Keywords

critical Sobolev-Hardy exponents, Hardy terms, Nehari manifold, condition.