Existence of global branches of positive solutions for semilinear elliptic degenerate problems

被引：7

作者：

Esteban, MJ ^{[1
]}

Giacomoni, J ^{[1
]}

机构：

[1] Univ Paris 09, CEREMADE, CNRS, UMR 7534, F-75775 Paris 16, France

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2000年 / 79卷 / 07期

关键词：

global bifurcation; subsolutions; supersolutions; asymptotic-bifurcation point; degenerate elliptic equation;

D O I：

10.1016/S0021-7824(00)00104-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are dealing with the following semilinear elliptic degenerate problem: [GRAPHICS] where B-1 = {x is an element of R-N; parallel to x parallel to = 1} and g is nonlinear. Under appropriate assumptions on g, we prove the existence of global and connected branches of solutions to (P) in R x L-infinity(B-1) or in R x H-0(1)(B-1). Our results cover a large class of sublinear and some nonlinearities. (C) 2000 Editions scientifiques et medicales Elsevier SAS.

引用

页码：715 / 740

页数：26

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