Resumen de Existence of entropy solutions for anisotropic quasilinear degenerated elliptic problems with Hardy potential

Elhoussine Azroul, Mohammed Bouziani, Barbara Abdelkrim

• The aim of this work is to give an existence result of entropy solutions for anisotropic quasilinear degenerated elliptic problems of the form − div (a(x,u,∇u))+|u|s−1u=f+ρ|u|p0−2u|x|p0, in Ω, where − div (a(x,u,∇u)) is a Leray-Lions operator from W1,(pi)0(Ω,w) to its dual, Ω is an open bounded subset of IRN (N≥2) containing the origin, the datum f is assumed to be merely integrable and ρ is a positive constant.