Branches of positive and free boundary solutions for some singular quasilinear elliptic problems

被引：38

作者：

Diaz, J. I. ^{[2
]}

Hernandez, J. ^{[3
]}

Mancebo, F. J. ^{[1
]}

机构：

[1] Univ Politecn Madrid, ETSI Aeronaut, E-28040 Madrid, Spain

[2] Univ Complutense Madrid, Dept Matemat Aplicada, E-28040 Madrid, Spain

[3] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 352卷 / 01期

关键词：

Elliptic partial differential equations; Quasilinear equations; Singular problems; Free boundaries; VARIATIONAL-INEQUALITIES; GLOBAL BIFURCATION; DIFFUSION; EQUATIONS; SUPPORT; EXISTENCE; CORE;

D O I：

10.1016/j.jmaa.2008.07.073

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence and multiplicity of solutions, strictly positive or nonnegative having a free boundary (the boundary of the set where the solution vanishes) of some one-dimensional quasilinear problems of eigenvalue type with possibly singular nonlinear terms. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：449 / 474

页数：26