<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Entropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and <italic>L</italic><sup>1</sup>-data

Department of Mathematics, Faculty of Sciences El Jadida

Laboratory LAMA, Department of Mathematics, Faculty of Sciences Dhar El Mahraz

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

We prove in this paper some existence and unicity results of entropy and renormalized solutions for some nonlinear elliptic equations with general anisotropic...

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

Published Online: Jan 29, 2021

Page range: 277 - 298

Received: Aug 31, 2020

Accepted: Jan 01, 2021

DOI: https://doi.org/10.2478/mjpaa-2021-0018

Keywords
Nonlinear elliptic equations, anisotropic diffusion, Variable exponents, Entropy solutions, Renormalized solution, -data

© 2021 Mostafa El Moumni et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Jan 29, 2021

Page range: 277 - 298

Received: Aug 31, 2020

Accepted: Jan 01, 2021

DOI: https://doi.org/10.2478/mjpaa-2021-0018

KeywordsNonlinear elliptic equations, anisotropic diffusion, Variable exponents, Entropy solutions, Renormalized solution, -data

© 2021 Mostafa El Moumni et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Keywords
Nonlinear elliptic equations, anisotropic diffusion, Variable exponents, Entropy solutions, Renormalized solution, -data