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

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

Open Access
|Jan 2021

Abstract

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.

Language: English
Page range: 277 - 298
Submitted on: Aug 31, 2020
Accepted on: Jan 1, 2021
Published on: Jan 29, 2021
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2021 Mostafa El Moumni, Deval Sidi Mohamed, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.