UNIQUENESS OF POSITIVE SOLUTIONS TO SOME COUPLED COOPERATIVE VARIATIONAL ELLIPTIC SYSTEMS

被引：3

作者：

An, Yulian ^{[1
]}

Chern, Jann-Long ^{[2
]}

Shi, Junping ^{[3
]}

机构：

[1] Shanghai Inst Technol, Dept Math, Shanghai 201418, Peoples R China

[2] Natl Cent Univ, Dept Math, Chungli 32054, Taiwan

[3] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 370卷 / 07期

基金：

上海市自然科学基金; 美国国家科学基金会;

关键词：

NONLINEAR SCHRODINGER-EQUATIONS; GLOBAL SOLUTION CURVES; RADIAL SOLUTIONS; SOLITARY WAVES; GROUND-STATE; MULTIVORTEX SOLUTIONS; EXACT MULTIPLICITY; STANDING WAVES; BOUND-STATES; EXISTENCE;

D O I：

10.1090/tran/7207

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The uniqueness of positive solutions to some semilinear elliptic systems with variational structure arising from mathematical physics is proved. The key ingredient of the proof is the oscillatory behavior of solutions to linearized equations for cooperative semilinear elliptic systems of two equations on one-dimensional domains, and it is shown that the stability of the positive solutions for such a semilinear system is closely related to the oscillatory behavior.

引用

页码：5209 / 5243

页数：35

共 70 条

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