Existence of renormalized solutions for Fourier boundary-value problems involving variable exponent and measure data

Dofyniwassouani Houede; Ibrahima Sakande; Adama Ourdraogo

doi:10.56947/amcs.v29.585

Authors

Dofyniwassouani Houede Departement de Mathematiques,Laboratoire de Mathematiques, d'Informatique et Applications (LaMIA), Universite Nazi BONI, Burkina Faso
Ibrahima Sakande Departement de Mathematiques,Laboratoire de Mathematiques, d'Informatique et Applications (LaMIA), Universite Nazi BONI, Burkina Faso
Adama Ourdraogo Departement de Mathematiques,Laboratoire de Mathematiques, d'Informatique et Applications (LaMIA), Universite Nazi BONI, Burkina Faso

DOI:

https://doi.org/10.56947/amcs.v29.585

Keywords:

Renormalized solution, anisotropic elliptic equations, anisotropic Sobolev spaces, Fourier boundary condition, measure data, variable exponents

Abstract

In this manuscript, we establish an existence result in the sense of renormalized solutions for some elliptic anisotropic Leray-Lions problems including Fourier boundary condition, variable exponent, measure data and some nonlinearities that are Carathéodory and satisfy only some growth conditions.