Three positive solutions of semilinear elliptic equations in exterior cylinder domains

被引：0

作者：

Hsu, Tsing-San ^{[1
]}

Lin, Huei-Li ^{[1
]}

机构：

[1] Chang Gung Univ, Ctr Gen Educ, Tao Yuan, Taiwan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 332卷 / 02期

关键词：

three positive solutions; semilinear elliptic equations; Palais-Smale sequences; minimax theorem;

D O I：

10.1016/j.jmaa.2006.10.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, assume that h is nonnegative and parallel to h parallel to(L2) > 0, we prove that if parallel to h parallel to(L2) is sufficiently small, then there are at least three positive solutions of Eq. (1) in an exterior cylinder domain. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：814 / 832

页数：19

共 50 条

[1] Four positive solutions of semilinear elliptic equations in exterior domains
Lin, Huei-Li
Wang, Hwai-Chiuan
Wu, Tsung-Fang
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (04) : 1129 - 1146
[2] MULTIPLE POSITIVE SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATIONS WITH WEIGHT FUNCTION IN EXTERIOR DOMAINS
Ishiwata, Michinori
[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS, 2013, 26 (1-2) : 183 - 200
[3] Multiple solutions of semilinear elliptic equations in exterior domains
Lin, Huei-Li
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2008, 138 : 531 - 549
[4] Solutions for indefinite semilinear elliptic equations in exterior domains
Tehrani, H
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 255 (01) : 308 - 318
[5] POSITIVE SOLUTIONS OF SEMILINEAR ELLIPTIC PROBLEMS IN EXTERIOR DOMAINS
YANG, JF
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1993, 106 (01) : 40 - 69
[6] Multiple Positive Solutions of Semilinear Elliptic Problems in Exterior Domains
Hsu, Tsing-San
Lin, Huei-Li
[J]. BOUNDARY VALUE PROBLEMS, 2010,
[7] Multiple Positive Solutions of Semilinear Elliptic Problems in Exterior Domains
Tsing-San Hsu
Huei-Li Lin
[J]. Boundary Value Problems, 2010
[8] Exactly two positive solutions of nonhomogeneous semilinear elliptic equations in unbounded cylinder domains
Hsu, TS
[J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2005, 12 (05): : 685 - 705
[9] Positive solutions for semilinear elliptic equations in annular domains
Hai, DD
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 37 (08) : 1051 - 1058
[10] Multiple solutions for semilinear elliptic equations in unbounded cylinder domains
Hsu, TS
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2004, 134 : 719 - 731

← 1 2 3 4 5 →