Singular elliptic equations involving a concave term and critical Caffarelli-Kohn-Nirenberg exponent with sign-changing weight functions

Abstract

In this article we establish the existence of at least two distinct solutions to singular elliptic equations involving a concave term and critical Caffarelli-Kohn-Nirenberg exponent with sign-changing weight functions.

Keywords

• Variational methods
• critical Caffarelli-Kohn-Nirenberg exponent
• concave term
• singular and sign-changing weights
• Palais-Smale condition