Open AccessEntropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and L 1-data
Author(s) -
Mostafa El Moumni,
Deval Sidi Mohamed
Publication year - 2021
Publication title -
moroccan journal of pure and applied analysis
Language(s) - English
Resource type - Journals
ISSN - 2351-8227
DOI - 10.2478/mjpaa-2021-0018
Subject(s) - nonlinear system , integrable system , anisotropy , critical exponent , entropy (arrow of time) , mathematics , mathematical physics , variable (mathematics) , mathematical analysis , physics , quantum mechanics , scaling , geometry
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.