Existence of solution for a Kirchhoff type system with weight and nonlinearity involving a $(p,q)$-superlinear term and critical Caffarelli-Kohn-Nirenberg growth

Abstract

We study a $(p,q)$-Laplacian system of Kirchhoff type equations with weight and nonlinearity involving a $(p,q)$-superlinear term, in which $p$ may be different from $q$, and with critical Caffarelli-Kohn-Nirenberg exponent. Using the Mountain Pass Theorem, we obtain a nontrivial solution to the problem.