Multiple solutions for weighted Kirchhoff equations involving critical Hardy-Sobolev exponent

Abstract

In this article, we consider a class of Kirchhoff equations with critical Hardy-Sobolev exponent and indefinite nonlinearity, which has not been studied in the literature. We prove very nicely that this equation has at least two solutions in ℝ3. And some known results in the literature are improved.

Keywords

• kirchhoff equation
• critical hardy-sobolev exponent
• indefinite nonlinearity
• concentration-compactness principle
• 35j10
• 35j20
• 35j60