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

Joint Authors

Bao, Gejun
Wang, Tingting

Source

Abstract and Applied Analysis

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-12-10

Country of Publication

Egypt

No. of Pages

16

Main Subjects

Mathematics

Abstract EN

This paper deals with the following Dirichlet problem: d*A(x,g+du)=d*h in Ω,uT=0 on ∂Ω.

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 Hölder inequality for solutions.

American Psychological Association (APA)

Wang, Tingting& Bao, Gejun. 2012. Some Properties of Solutions to a Class of Dirichlet Boundary Value Problems. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-1027900

Modern Language Association (MLA)

Wang, Tingting& Bao, Gejun. Some Properties of Solutions to a Class of Dirichlet Boundary Value Problems. Abstract and Applied Analysis No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-1027900

American Medical Association (AMA)

Wang, Tingting& Bao, Gejun. Some Properties of Solutions to a Class of Dirichlet Boundary Value Problems. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-1027900

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1027900