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article · Boletim da Sociedade Paranaense de Matemática

Three weak solutions for a class of fourth order p(x)-Kirchhoff type problem with Leray-Lions operators

2024Open accessMohamed I University

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.

Research topics

  • Nonlinear Partial Differential Equations
  • Differential Equations and Boundary Problems
  • Advanced Mathematical Modeling in Engineering

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DOI: 10.5269/bspm.62936

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