On the existence of multiple positive solutions of quasilinear elliptic eigenvalue problems

被引：108

作者：

Fukagai, Nobuyoshi ^{[1
]}

Narukawa, Kimiaki

机构：

[1] Univ Tokushima, Fac Engn, Dept Math, Tokushima 7708506, Japan

[2] Naruto Univ Educ, Dept Math, Takashima, Naruto 7728502, Japan

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2007年 / 186卷 / 03期

关键词：

quasilinear elliptic problem; multiple positive solutions; Orlicz-Sobolev spaces;

D O I：

10.1007/s10231-006-0018-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a quasilinear elliptic problem [GRAPHICS] with nonhomogeneous principal part phi. Under the hypothesis f(x,t)= o(phi(t)t) at t = 0 and infinity, the existence of multiple positive solutions is proved by using the variational arguments in the Orlicz-Sobolev spaces.

引用

页码：539 / 564

页数：26

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