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

Article ID	Journal	Published Year	Pages	File Type
841074	Nonlinear Analysis: Theory, Methods & Applications	2012	11 Pages	PDF

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?s variational principle Strong maximum principle Positive solution Boundary singularities