Some Properties of Solutions to a Class of Dirichlet Boundary Value Problems

被引：1
|
作者：
Wang, Tingting [1 ]
Bao, Gejun [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1155/2012/268612
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the following Dirichlet problem: d*A(x, g + du) = d*h in Omega, u(T) = 0 on partial derivative Omega . Based on its solvability, we derive some properties of its solutions. In this paper, we mainly get three results. Firstly, we establish an integral estimate for the solutions of the above Dirichlet boundary value problem. Secondly, a stability result of solutions for varying differential forms g and h is obtained. Lastly, we present a weak reverse Holder inequality for solutions.
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页数：16
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