Investigation of weak solutions for p(z)-Kirchhoff equations by Young measure techniques

Abstract

The present article deals with the existence of weak solutions to a class of p ( z ) p\left(z) -Kirchhoff-type problems. To address these problems, we employ a variational approach in conjunction with the theory of variable exponent Sobolev spaces, while imposing suitable assumptions on the source term. Furthermore, we utilize the theory of Young measures.