Existence and uniqueness of entropy solutions for some nonlinear elliptic unilateral problems in Musielak-Orlicz-Sobolev spaces

摘要

In this paper, we study the existence and uniqueness of entropy solutions for some quasilinear degenerate elliptic unilateral problems of the type- div a(x,abla u) = f in Omega,u= 0 on partialOmega,in the Musielak-Orlicz-Sobolev spaces W_{0}^{1} L_{arphi}(Omega), with f in L^{1}(Omega).