On the entropy solution to an elliptic problem in anisotropic Sobolev–Orlicz spaces

Аннотация

For a certain class of anisotropic elliptic equations with the right-hand side from L₁ in an arbitrary unbounded domains, the Dirichlet problem with an inhomogeneous boundary condition is considered. The existence and uniqueness of the entropy solution in anisotropic Sobolev–Orlicz spaces are proven.