Entropy solutions for some nonlinear and noncoercive parabolic problems in the anisotropic Sobolev spaces

Abstract

In this paper, we studied the existence of solutions for a class parabolic problem involving a non-coercive Leray-Lions operator with a Hardy potential. Using an approximate method and some a priori estimation techniques, we show the existence of entropy solutions for the studied problem within the framework of anisotropic Sobolev spaces.