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.
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页码：715 / 740
页数：26
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