EXISTENCE OF ENTROPIC SOLUTIONS OF AN ELLIPTIC PROBLEM IN ANISOTROPIC SOBOLEV-ORLICZ SPACES

摘要

We consider the Dirichlet problem in an arbitrary unbounded domain with inhomogeneous boundary conditions for a certain class of anisotropic elliptic equations whose right-hand sides belong to the class L_1 and prove the existence of entropic solutions in anisotropic Sobolev-Orlicz spaces.