Critical growth elliptic problems involving Hardy-Littlewood-Sobolev critical exponent in non-contractible domains

Abstract

The paper is concerned with the existence and multiplicity of positive solutions of the nonhomogeneous Choquard equation over an annular type bounded domain. Precisely, we consider the following equation

Keywords

• hardy-littlewood-sobolev inequality
• critical problems
• non-contractible domains
• 35a15
• 35j60
• 35j20