Existence of 2-Nodal Solutions for Semilinear Elliptic Equations in Unbounded Domains

被引：0

作者：

Li, Tiexiang ^{[1
]}

Lin, Huei-li ^{[2
]}

Wu, Tsung-fang ^{[3
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 211189, Peoples R China

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

[3] Natl Univ Kaohsiung, Dept Appl Math, Kaohsiung 811, Taiwan

来源：

ADVANCED NONLINEAR STUDIES | 2010年 / 10卷 / 01期

关键词：

Semilinear elliptic equations; 2-nodal solutions; unbounded domains; MINIMAL NODAL SOLUTIONS; POSITIVE SOLUTIONS; SYMMETRIC DOMAIN; NUMBER; TOPOLOGY; MULTIPLICITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the effect of domain shape on the existence of 2-nodal solutions for a semilinear elliptic equation involving non-odd nonlinearities.

引用

页码：1 / 21

页数：21

共 50 条

[1] EXISTENCE OF WEAK SOLUTIONS FOR DEGENERATE SEMILINEAR ELLIPTIC EQUATIONS IN UNBOUNDED DOMAINS
Raghavendra, Venkataramanarao
Kar, Rasmita
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[2] Existence and multiplicity of positive solutions of semilinear elliptic equations in unbounded domains
Hu, Kai
Tang, Chun-Lei
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 251 (03) : 609 - 629
[3] MULTIPLICITY OF 2-NODAL SOLUTIONS FOR A SEMILINEAR ELLIPTIC EQUATION
Wu, Tsung-Fang
[J]. DIFFERENTIAL EQUATIONS & APPLICATIONS, 2009, 1 (04): : 497 - 515
[4] Multiplicity of 2-nodal solutions for semilinear elliptic problems in RN
Liu, Chi-hua
Wang, Hsiao-yun
Wu, Tsung-fang
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 348 (01) : 169 - 179
[5] On the existence of a positive solution of semilinear elliptic equations in unbounded domains
Bahri, A
Lions, PL
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1997, 14 (03): : 365 - 413
[6] ON THE EXISTENCE AND NODAL CHARACTER OF SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATIONS
曹道珉
朱熹平
[J]. Acta Mathematica Scientia, 1988, (03) : 345 - 359
[7] Asymptotic behaviour of solutions to semilinear elliptic equations in unbounded domains
Grishina, GV
[J]. EQUADIFF 2003: INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS, 2005, : 290 - 292
[8] Axial symmetry of solutions to semilinear elliptic equations in unbounded domains
Montefusco, E
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2003, 133 : 1175 - 1192
[9] 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
[10] ON THE EXISTENCE AND NODAL CHARACTER OF SOLUTIONS OF SEMILINEAR ELLIPTIC-EQUATIONS
CAO, DM
ZHU, XP
[J]. ACTA MATHEMATICA SCIENTIA, 1988, 8 (03) : 345 - 359

← 1 2 3 4 5 →