TOPOLOGICAL STRUCTURE OF THE SOLUTION SET OF SINGULAR EQUATIONS WITH SIGN CHANGING TERMS UNDER DIRICHLET BOUNDARY CONDITION

被引：0

作者：

Goncalves, Jose V. ^{[1
]}

Marcial, Marcos R. ^{[2
]}

Miyagaki, Olimpio H. ^{[3
]}

机构：

[1] Univ Fed Goias, Inst Matemat & Estat, BR-74001970 Goiania, Go, Brazil

[2] Univ Fed Ouro Preto, Dept Matemat ICEB, Campus Univ Morro Do Cruzeiro, BR-35400000 Ouro Preto, MG, Brazil

[3] Univ Fed Juiz de Fora, Dept Matemat, BR-36036330 Juiz De Fora, MG, Brazil

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2016年 / 47卷 / 01期

关键词：

Connected sets; fixed points; Schauder theory; elliptic equations; REGULARITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish existence of connected components of positive solutions of the equation -Delta(p)u = lambda f(u) in Omega, under Dirichlet boundary conditions, where Omega subset of R-N is a bounded domain with smooth boundary partial derivative Omega, Delta(p) is the p-Laplacian, and f : (0, infinity) -> R is a continuous function which may blow up to +/-infinity at the origin.

引用

页码：73 / 89

页数：17

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