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.
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页码：539 / 564
页数：26
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