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.

引用

页码：921 / 943

页数：23

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