Existence of solutions for a critical (p1(x), ..., pn(x))-Kirchhoff-type potential systems

In this paper, by using the concentration-compactness principle of Lions for variable exponent spaces and the Mountain Pass Theorem, we obtain the existence of nontrivial solutions for a class of (p(1)(x), ..., p(n)(x))-Kirchhoff-type potential systems type with critical exponent.

Automated summary

In this paper, the existence of nontrivial solutions for a class of (p(1)(x), ..., p(n)(x))-Kirchhoff-type potential systems with critical exponent is obtained by using the concentration-compactness principle of Lions for variable exponent spaces and the Mountain Pass Theorem.