Existence of Nontrivial Solutions for a Nonlocal Elliptic System of (p,q)-Kirchhoff Type with Critical Exponent

This paper studies the existence of nontrivial solution for the nonlocal elliptic system of (p,q)-Kirchhoff type (1) with critical exponent. Under some conditions on M_i (i=1,2) and F, the existence of nontrivial solution is established. Our technical approach is based on Bonanno and Molica Bisci s general critical points theorem.