Entropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and L 1-data
and | Jan 29, 2021
About this article
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
© 2021 Mostafa El Moumni et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
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.