A Dirichlet problem under integral boundary condition

被引：0

作者：

Correa, Francisco Julio S. A.

Morbach, Joelma

机构：

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 478卷 / 01期

关键词：

Positive solution; Lower and upper solutions; Continuum of solutions; BLOW-UP;

D O I：

10.1016/j.jmaa.2019.04.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we establish some results concerning existence and multiplicity of solution for a elliptic problem under integral Dirichlet boundary condition. We mainly use a lower and upper solution method and a result due to Rabinowitz [11] related to the existence of a continuum of solutions of an abstract nonlinear eigenvalue problem. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：1 / 13

页数：13

共 50 条

[1] ON THE EQUIVALENCE OF ZERO BOUNDARY-CONDITIONS TO AN INTEGRAL CONDITION IN THE DIRICHLET PROBLEM
BOIMATOV, KK
RUSSIAN MATHEMATICAL SURVEYS, 1993, 48 (03) : 185 - 187
[2] Integral Method of Boundary Characteristics in Solving the Stefan Problem: Dirichlet Condition
Kot V.A.
Journal of Engineering Physics and Thermophysics, 2016, 89 (5) : 1289 - 1314
[3] SOLUTION OF THE DIRICHLET PROBLEM WITH LP BOUNDARY CONDITION
Medkova, Dagmar
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2008, 31 : 29 - 42
[4] On a nonlinear problem with zero Dirichlet boundary condition
Sharaf, Khadijah
APPLICABLE ANALYSIS, 2017, 96 (09) : 1466 - 1482
[5] A generalized Minkowski problem with Dirichlet boundary condition
Schnürer, OC
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 355 (02) : 655 - 663
[6] On Estimates for the First Eigenvalue of the Sturm-Liouville Problem with Dirichlet Boundary Conditions and Integral Condition
Ezhak, Svetlana
DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATI ONS, 2013, 47 : 387 - 394
[7] ON THE CONDITION NUMBER OF BOUNDARY INTEGRAL-OPERATORS FOR THE EXTERIOR DIRICHLET PROBLEM FOR THE HELMHOLTZ-EQUATION
KRESS, R
SPASSOV, WT
NUMERISCHE MATHEMATIK, 1983, 42 (01) : 77 - 95
[8] A free boundary problem with nonlinear advection and Dirichlet boundary condition
Ding, Ning
Cai, Jingjing
Xu, Li
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, 69
[9] INTEGRAL METHOD OF BOUNDARY CHARACTERISTICS: THE DIRICHLET CONDITION. ANALYSIS
Kot, V. A.
HEAT TRANSFER RESEARCH, 2016, 47 (10) : 927 - 944
[10] INTEGRAL METHOD OF BOUNDARY CHARACTERISTICS: THE DIRICHLET CONDITION. PRINCIPLES
Kot, V. A.
HEAT TRANSFER RESEARCH, 2016, 47 (11) : 1035 - 1055

← 1 2 3 4 5 →