Solutions of anisotropic elliptic equations in unbounded domains

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki

Anna Alexandrovna Khadzhi¹  Larisa Mikhailovna Kozhevnikova¹ 

[1] Sterlitamak Branch of Bashkir State University;

关键词: dirichlet problem;    anisotropic equation;    quasilinear elliptic equation;    generalized solution;    unbounded domain;    decrease of the solution;    existence ofsolution;    uniqueness of the solution;    harnack inequality;    domain of rotation;   

DOI  :  10.14498/vsgtu1163

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown