Entropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and L1-data

We prove in this paper some existence and unicity results of entropy and renormalized solutions for some nonlinear elliptic equations with general anisotropic diffusivities and variable exponents. The data are assumed to be merely integrable.

Bibliographic Details
Main Authors: Moumni Mostafa El, Mohamed Deval Sidi
Format: Article
Language:English
Published: Sciendo 2021-05-01
Series:Moroccan Journal of Pure and Applied Analysis
Subjects:
Online Access:https://doi.org/10.2478/mjpaa-2021-0018