Boletim da Sociedade Paranaense de Matemática (May 2024)
Three weak solutions for a class of fourth order p(x)-Kirchhoff type problem with Leray-Lions operators
Abstract
In this work, we study the multiplicity of a weak solution for a fourth order p(x)-Kirchhoff type problem involving the Leray-Lions type operators with no flux boundary condition. By using variational approach and critical point theory, we determine an open interval of parameters for which our problem admits at least three distinct weak solutions.