ARTICLE
Existence of renormalized solutions for Fourier boundary-value problems involving variable exponent and measure data
- Annals of Mathematics and Computer Science , 29 : 28-71
Lien de l'article :
https://doi.org/10.56947/amcs.v29.585
Discipline :
Mathématiques, Physique, Chimie et Informatique
Auteur(s) :
Dofyniwassouani Alain Houede, Ibrahima Sakande, Adama Ourdraogo
Auteur(s) tagués :
HOUEDE Dofyniwassouani Alain
Renseignée par : HOUEDE Dofyniwassouani Alain
Résumé
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.
Mots-clés
renormalized solutions, existence of solutions, Fourier boundary conditions, variable exponent, measurement data, anisotropic elliptic problems, Leray-Lions operators, Carathéodory nonlinearity, growth conditions