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

共 50 条

[31] Bifurcations of positive and negative continua in quasilinear elliptic eigenvalue problems
Girg, Petr
Takac, Peter
ANNALES HENRI POINCARE, 2008, 9 (02): : 275 - 327
[32] An existence result for a class of quasilinear elliptic eigenvalue problems in unbounded domains
Kanishka Perera
Patrizia Pucci
Csaba Varga
Nonlinear Differential Equations and Applications NoDEA, 2014, 21 : 441 - 451
[33] Existence of nodal solutions for quasilinear elliptic problems in RN
Derlet, Ann
Genoud, Francois
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2015, 145 (05) : 937 - 957
[34] An existence result for a class of quasilinear elliptic eigenvalue problems in unbounded domains
Perera, Kanishka
Pucci, Patrizia
Varga, Csaba
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2014, 21 (03): : 441 - 451
[35] Large and small solutions of a class of quasilinear elliptic eigenvalue problems
Guo, ZM
Webb, JRL
JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 180 (01) : 1 - 50
[36] MULTIPLE POSITIVE SOLUTIONS FOR QUASILINEAR ELLIPTIC SYSTEMS
Li, Qin
Yang, Zuodong
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[37] EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF SINGULAR AND QUASILINEAR ELLIPTIC PROBLEMS WITH CRITICAL EXPONENTIAL GROWTH
Arruda, Suellen Cristina Q.
Figueiredo, Giovany M.
Nascimento, Rubia G.
ANNALES FENNICI MATHEMATICI, 2021, 46 (01): : 395 - 420
[38] POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC EIGENVALUE PROBLEMS
SIMPSON, RB
COHEN, DS
JOURNAL OF MATHEMATICS AND MECHANICS, 1970, 19 (10): : 895 - &
[39] Uniqueness and flat core of positive solutions for quasilinear elliptic eigenvalue problems in general smooth domains
Guo, ZM
MATHEMATISCHE NACHRICHTEN, 2002, 243 : 43 - 74
[40] POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC EIGENVALUE PROBLEMS
KUIPER, HJ
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (02): : A315 - A316

← 1 2 3 4 5 →