Multiple solutions for p(x)-Kirchhoff type problems with extended Robin boundary conditions

Abstract

This article considers p(x)-Kirchhoff type problems with extended Robin boundary conditions. Using the mountain pass theorem, Ekeland's variational principle, and Krasnoselskii's genus theory, we prove the existence at least two, and infinitely many non-trivial weak solutions under some suitable conditions on the non-linearities. The main results improve and generalize the results introduced in [1]. For more information see https://ejde.math.txstate.edu/Volumes/2024/83/abstr.html