Singular elliptic systems involving concave terms and critical Caffarelli-Kohn-Nirenberg exponents

Abstract

In this article, we establish the existence of at least four solutions to a singular system with a concave term, a critical Caffarelli-Kohn-Nirenberg exponent, and sign-changing weight functions. Our main tools are the Nehari manifold and the mountain pass theorem.

Keywords

• Singular elliptic system
• concave term
• mountain pass theorem
• critical Caffarelli-Kohn-Nirenberg exponent
• Nehari manifold
• sign-changing weight function