Multiple solutions for a critical $p(x)$-Kirchhoff type equations

Abstract

In this paper, by using the concentration--compactness principle of Lions for variable exponents and variational arguments, we obtain the existence and multiplicity solutions for a class of $p(x)$-Kirchhoff type equations with critical exponent.

Keywords

• Critical exponent
• p(x)-Kirchhoff problem
• Variational method