On the decay of solutions of non-uniformly elliptic equations

被引：0

作者：

Gilimshina, V. F. ^{[1
]}

Mukminov, F. Kh. ^{[1
]}

机构：

[1] Bashkir State Pedag Univ, Ufa, Russia

来源：

IZVESTIYA MATHEMATICS | 2011年 / 75卷 / 01期

关键词：

degenerate elliptic equation; rate of decay of solutions; unbounded domain; DIRICHLET PROBLEM; BOUNDARY; SMOOTHNESS; EXISTENCE; BEHAVIOR; DOMAINS;

D O I：

10.1070/IM2011v075n01ABEH002527

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain upper and lower bounds for the rate of decay at infinity for a solution of a second-order non-uniformly elliptic equation in an unbounded domain with alternating types of boundary condition, both of the first and third types. We prove that the bound for this rate of decay is sharp, both in the case of a rather arbitrary alternation of boundary conditions of the first and third types and in the case of an equation degenerating on the boundary of an unbounded domain.

引用

页码：53 / 71

页数：19

共 20 条

[1]

[Anonymous], 1971, EQUATIONS MATH PHYS

[2] Smoothness of solutions to the Dirichlet problem for a second-order elliptic equation with a square integrable boundary function [J].