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

被引：109

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

共 50 条

[21] Multiple positive solutions for a quasilinear elliptic equation involving singular potential and critical Sobolev exponent
Liu, Haidong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) : 1684 - 1690
[22] Existence of Multiple Positive Solutions for Quasilinear Elliptic Systems Involving Critical Hardy-Sobolev Exponents and Sign-Changing Weight Function
Nyamoradi, Nemat
MATHEMATICAL MODELLING AND ANALYSIS, 2012, 17 (03) : 330 - 350
[23] Existence of multiple positive weak solutions and estimates for extremal values to a class of elliptic problems with Hardy term and singular nonlinearity
Chen, Yaoping
Chen, Jianqing
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 429 (02) : 873 - 900
[24] Existence of solutions for a general quasilinear elliptic system via perturbation method
Jiao, Yujuan
Fu, Shengmao
Wang, Yanli
BOUNDARY VALUE PROBLEMS, 2013,
[25] Existence and regularity of solutions to a quasilinear elliptic problem involving variable sources
Chu, Ying
Gao, Ruimei
Sun, Yan
BOUNDARY VALUE PROBLEMS, 2017,
[26] Existence and regularity of solutions to a quasilinear elliptic problem involving variable sources
Ying Chu
Ruimei Gao
Yan Sun
Boundary Value Problems, 2017
[27] Multiple positive solutions of superlinear elliptic problems with sign-changing weight
Bonheure, D
Gomes, JM
Habets, P
JOURNAL OF DIFFERENTIAL EQUATIONS, 2005, 214 (01) : 36 - 64
[28] Multiple positive solutions of semilinear elliptic boundary value problems in the half space
Hsu, Tsing-san
Lin, Huei-li
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (01) : 304 - 316
[29] Multiple solutions for quasilinear elliptic problems with concave-convex nonlinearities in Orlicz-Sobolev spaces
Wu, Shujun
BOUNDARY VALUE PROBLEMS, 2019, 2019 (01)
[30] EXISTENCE OF SOLUTIONS FOR QUASILINEAR ELLIPTIC SYSTEMS INVOLVING CRITICAL EXPONENTS AND HARDY TERMS
Lue, Dengfeng
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,

← 1 2 3 4 5 →