A LIOUVILLE TYPE RESULT FOR BOUNDED, ENTIRE SOLUTIONS TO A CLASS OF VARIATIONAL SEMILINEAR ELLIPTIC SYSTEMS

被引：0

作者：

Sourdis, Christos ^{[1
]}

机构：

[1] Univ Turin, Dept Math, Via Carlo Alberto 10, I-10123 Turin, Italy

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2016年 / 29卷 / 11-12期

关键词：

EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a Liouville type result for bounded, entire solutions to a class of variational semilinear elliptic systems, based on the growth of their potential energy over balls with growing radius. Important special cases to which our result applies are the Ginzburg-Landau system and systems that arise in the study of multi-phase transitions.

引用

页码：1021 / 1028

页数：8

共 50 条

[1] EXISTENCE OF ENTIRE POSITIVE SOLUTIONS FOR A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS
Zhang, Zhijun
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
[2] An existence result on positive solutions for a class of semilinear elliptic systems
Hai, DD
Shivaji, R
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2004, 134 : 137 - 141
[3] Entire Large Solutions to Semilinear Elliptic Systems of Competitive Type
Lair, Alan, V
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2019, 32 (01): : 52 - 65
[4] A remark on the existence of entire positive solutions for a class of semilinear elliptic systems
Li, Hong
Zhang, Pei
Zhang, Zhijun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 365 (01) : 338 - 341
[5] Entire large solutions to semilinear elliptic systems
Lair, Alan V.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 382 (01) : 324 - 333
[6] A PERTURBATION RESULT ON POSITIVE ENTIRE SOLUTIONS OF A SEMILINEAR ELLIPTIC EQUATION
ZHU, XP
JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 92 (02) : 163 - 178
[7] Two positive nontrivial solutions for a class of semilinear elliptic variational systems
Precup, Radu
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 373 (01) : 138 - 146
[8] Existence of Solutions for a Class of Semilinear Elliptic Systems via Variational Methods
Afrouzi, G. A.
Mirzapour, M.
DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATI ONS, 2013, 47 : 517 - 524
[9] On the positive entire solutions to a class of semilinear elliptic equations
Zhang, Quanju
Zheng, Hongxing
Chen, Kaizhou
Xi'an Dianzi Keji Daxue Xuebao/Journal of Xidian University, 2000, 27 (04): : 414 - 418
[10] A Liouville type theorem for semilinear elliptic systems
Teramoto, T
Usami, H
PACIFIC JOURNAL OF MATHEMATICS, 2002, 204 (01) : 247 - 255

← 1 2 3 4 5 →