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

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

This paper deals with the following Dirichlet problem: in on . 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 sta...

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Main Authors: Tingting Wang, Gejun Bao
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/268612
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spelling doaj-2c10768dd0994c9d8d8ea5d32090bee62020-11-24T23:49:56ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/268612268612Some Properties of Solutions to a Class of Dirichlet Boundary Value ProblemsTingting Wang0Gejun Bao1Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaThis paper deals with the following Dirichlet problem: in on . 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 and is obtained. Lastly, we present a weak reverse Hölder inequality for solutions.http://dx.doi.org/10.1155/2012/268612
collection DOAJ
language English
format Article
sources DOAJ
author Tingting Wang
Gejun Bao
spellingShingle Tingting Wang
Gejun Bao
Some Properties of Solutions to a Class of Dirichlet Boundary Value Problems
Abstract and Applied Analysis
author_facet Tingting Wang
Gejun Bao
author_sort Tingting Wang
title Some Properties of Solutions to a Class of Dirichlet Boundary Value Problems
title_short Some Properties of Solutions to a Class of Dirichlet Boundary Value Problems
title_full Some Properties of Solutions to a Class of Dirichlet Boundary Value Problems
title_fullStr Some Properties of Solutions to a Class of Dirichlet Boundary Value Problems
title_full_unstemmed Some Properties of Solutions to a Class of Dirichlet Boundary Value Problems
title_sort some properties of solutions to a class of dirichlet boundary value problems
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description This paper deals with the following Dirichlet problem: in on . 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 and is obtained. Lastly, we present a weak reverse Hölder inequality for solutions.
url http://dx.doi.org/10.1155/2012/268612
work_keys_str_mv AT tingtingwang somepropertiesofsolutionstoaclassofdirichletboundaryvalueproblems
AT gejunbao somepropertiesofsolutionstoaclassofdirichletboundaryvalueproblems
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