Some existence and bifurcation results for quasilinear elliptic equations with slowly growing principal operators

被引：0
|
作者：
Le, Vy Khoi [1 ]
机构：
[1] Univ Missouri, Dept Math & Stat, Rolla, MO 65401 USA
来源：
HOUSTON JOURNAL OF MATHEMATICS | 2006年 / 32卷 / 03期
关键词：
global bifurcation; quasilinear equation; slow growth; Orlicz-Sobolev space;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider here the boundary value problem -div(A(\del u\)del u)=g(x,u, lambda) in Omega u=0 on partial derivative Omega, in the case where the principal term A(\del u\)del u has very slow growth. We show the Rabinowitz alternative for global bifurcation and also some existence results by a topological approach. Due to the lack of coercivity, new arguments and techniques are needed.
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页码：921 / 943
页数：23
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