UNIQUENESS OF POSITIVE SOLUTIONS FOR A CLASS OF SCHRODINGER SYSTEMS WITH SATURABLE NONLINEARITY

被引：0

作者：

Cao, Xiaofei ^{[1
]}

Xu, Junxiang ^{[2
]}

Wang, Jun ^{[3
]}

Zhang, Fubao ^{[2
]}

机构：

[1] Huaiyin Inst Technol, Fac Math & Phys, Huaian 223003, Peoples R China

[2] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China

[3] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2018年 / 48卷 / 06期

关键词：

Saturable nonlinearity; uniqueness; coupling parameter; SOLITARY WAVES; EQUATIONS;

D O I：

10.1216/RMJ-2018-48-6-1815

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the study of the nonexistence and the uniqueness of positive solutions for a class of the following nonlinear coupled Schrodinger systems with saturable nonlinearity { -Delta u(1) + lambda(1)u(1) = u(1)(mu(1)u(1)(2) + beta u(2)(2)) / 1 + s(mu(1)u(1)(2) + beta u(2)(2)) in R-N, -Delta u(2) + lambda(2)u(2) = u(2)(mu(2)u(2)(2) + beta u(1)(2)) / 1 + s(mu(2)u(2)(2) + beta u(1)(2)) in R-N, u(1), u(2) is an element of H-1 (R-N), u(1) > 0, u(2) > 0 in R-N, where lambda(j), mu(j), j = 1,2, are positive constants, s is a positive parameter and beta is a positive coupling parameter. Moreover, we will show that any positive solution is a priori bounded.

引用

页码：1815 / 1828

页数：14

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