Existence and non-existence of positive solutions for nonlinear elliptic singular equations with natural growth

被引：11

作者：

Carmona, Jose ^{[1
]}

Martinez-Aparicio, Pedro J. ^{[2
]}

Suarez, Antonio ^{[3
]}

机构：

[1] Univ Almeria, Dept Matemat, La Canada De San Urbano 04120, Almeria, Spain

[2] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, Murcia 30202, Spain

[3] Fac Matemat, Dept Ecuac Diferenciales & Anal Numer, Seville, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 89卷

关键词：

Nonlinear elliptic equations; Natural growth condition; The sub super-solution method; Singular gradient terms; QUASI-LINEAR EQUATIONS; GRADIENT TERM;

D O I：

10.1016/j.na.2013.05.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we analyze the existence, non-existence and uniqueness of positive solutions of some nonlinear elliptic equations containing singular terms and natural growth in the gradient term. We use an adequate sub super-solution method to prove the existence of solutions, the characterization of eigenvalues and the integrability of the term vertical bar del u vertical bar(2)/u(2) for the non-existence and results from Arcoya-Segura de Leon for the uniqueness. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：157 / 169

页数：13

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