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.

引用

页数：16

共 50 条

[21] Positive solutions of superlinear semipositone singular Dirichlet boundary value problems
Zhang, XG
Liu, LS
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 316 (02) : 525 - 537
[22] Multiple positive solutions of singular Dirichlet boundary value problems at nonresonance
Wei, ZL
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2001, 32 (07): : 1015 - 1026
[23] Existence of Positive Solutions to Semipositone Singular Dirichlet Boundary Value Problems
Svatoslav STAN■K
ActaMathematicaSinica(EnglishSeries), 2006, 22 (06) : 1891 - 1914
[24] Positive solutions of nonresonance sernipositone singular Dirichlet boundary value problems
Zhang, Xinguang
Liu, Lishan
Wu, Yonghong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (01) : 97 - 108
[25] Existence of positive solutions to semipositone singular Dirichlet boundary value problems
Stanek, Svatoslav
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2006, 22 (06) : 1891 - 1914
[26] Nonexistence of nontrivial solutions for a class of boundary value problems
Al. S. Tersenov
Differential Equations, 2004, 40 : 1478 - 1482
[27] Multiplicity of solutions for a class of elliptic boundary value problems
He, Xiaoming
Zou, Wenming
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) : 2606 - 2613
[28] Nonexistence of nontrivial solutions for a class of boundary value problems
Tersenov, AS
DIFFERENTIAL EQUATIONS, 2004, 40 (10) : 1478 - 1482
[29] Nonexistence of nontrivial solutions for a class of boundary value problems
Al. S. Tersenov
Differential Equations, 2004, 40 : 1478 - 1482
[30] Positive solutions for a class of fractional boundary value problems
Xu, Jiafa
Wei, Zhongli
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2016, 21 (01): : 1 - 17

← 1 2 3 4 5 →