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.