Solutions of anisotropic elliptic equations in unbounded domains

Abstract

In the paper the Dirichlet problem for an anisotropic quasilinear elliptic equations of the second order is considered. The upper estimates for the generalized solution of this Dirichlet problem are received, the closeness is proved for the isotropic case.

Keywords

• dirichlet problem
• anisotropic equation
• quasilinear elliptic equation
• generalized solution
• unbounded domain
• decrease of the solution
• existence of solution
• uniqueness of the solution
• harnack inequality
• domain of rotation