[1]张 晶.一类耦合型薛定谔系统径向正解的存在性[J].江西师范大学学报(自然科学版),2018,(03):248-253.[doi:10.16357/j.cnki.issn1000-5862.2018.03.06]
 ZHANG Jing.The Existence of Positive Radial Solutions for a Class of Coupled Schrdinger System[J].Journal of Jiangxi Normal University:Natural Science Edition,2018,(03):248-253.[doi:10.16357/j.cnki.issn1000-5862.2018.03.06]
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一类耦合型薛定谔系统径向正解的存在性()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2018年03期
页码:
248-253
栏目:
变分法与椭圆方程
出版日期:
2018-06-20

文章信息/Info

Title:
The Existence of Positive Radial Solutions for a Class of Coupled Schrödinger System
文章编号:
1000-5862(2018)03-0248-06
作者:
张 晶
哈尔滨师范大学曾远荣泛函分析研究中心,黑龙江 哈尔滨 150025
Author(s):
ZHANG Jing
Zeng Yuanrong Functional Analysis Research Center,Harbin Normal University,Harbin Heilongjiang 150025,China
关键词:
变分法 耦合型薛定谔系统 径向正解
Keywords:
variational methods coupled Schrödinger system positive radial solutions
分类号:
O 177.91; O 175.29
DOI:
10.16357/j.cnki.issn1000-5862.2018.03.06
文献标志码:
A
摘要:
利用变分法和椭圆方程理论研究如下的非线性薛定谔方程组: {-Δu+u=h(u)+λ(2uv2)/(1+u2v2),x∈RN, -Δv+v=g(v)+λ(2u2v)/(1+u2v2),x∈RN, u→0,v→0,|x|→+∞. 假设h和g满足一定的条件,λ0∈(0,1),λ∈(0,λ0),得到径向正解的存在性.
Abstract:
The following nonlinear Schrödinger system {-Δu+u=h(u)+λ(2uv2)/(1+u2v2),x∈RN -Δv+v=g(v)+λ(2u2v)/(1+u2v2),x∈RN u→0,v→0,|x|→+∞ is studied.Under some assumptions on h and g,there is λ0∈(0,1),such that,for any λ∈(0,λ0),the existence of positive radial solutions is obtained.

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备注/Memo

备注/Memo:
收稿日期:2018-01-30
基金项目:国家自然科学基金(11326098)资助项目.
作者简介:张 晶(1983-),女,黑龙江绥化人,副教授,主要从事非线性泛函分析的研究.E-mail:zhjmath11@163.com
更新日期/Last Update: 2018-06-20