On the existence and uniqueness of positive solutions of the logistic elliptic BVP with nonlinear mixed boundary conditions

被引：2

作者：

Cano-Casanova, S. ^{[1
]}

机构：

[1] Univ Pontificia Comillas Madrid, Dept Matemat Aplicada & Computac, Madrid 28015, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 63卷 / 5-7期

关键词：

Nonlinear mixed boundary conditions; Nonlinear boundary value problems; Principal eigenvalues; Maximum principle; Variation of domains; Continuous dependence;

D O I：

10.1016/j.na.2005.01.065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we characterize the existence of positive solutions of a general class of sublineal elliptic boundary value problems with nonlinear boundary conditions of mixed type. Also, we state the uniqueness of positive solution for these kinds of problems and its regularity. Monotonicity techniques and spectral theory are the main technical tools that have been used to develop our work. (C) 2005 Elsevier Ltd. All rights reserved.

引用

页码：E1399 / E1407

页数：9

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