On Kirchhoff-type 𝑝(⋅)-Laplacian problems with sandwich-type and arbitrary growth

Abstract

We establish the existence of a positive bounded weak solution for a class of Kirchhoff-type -Laplacian problems involving an arbitrary growth and a sandwich-type growth . This setting leads to substantial analytical difficulties in the variational analysis of the associated energy functional. By combining truncation arguments with a priori estimates, we prove the existence result under suitable assumptions on the data