This article is cited in 8 papers

Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Equations of Mathematical Physics

Solutions of anisotropic elliptic equations in unbounded domains

L. M. Kozhevnikova, A. A. Khadzhi

Sterlitamak Branch of Bashkir State University, Sterlitamak, 453103, Russia

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.

UDC: 517.956.25

MSC: Primary 35J62; Secondary 35J25, 35J15

Original article submitted 14/XI/2012
revision submitted – 17/I/2013

DOI: 10.14498/vsgtu1163

Bibliographic databases:

• 
• 
•