Multiple existence of solutions for coupled nonlinear Schrodinger equations

被引：5

作者：

Hirano, Norimichi ^{[1
]}

Shioji, Naoki ^{[1
]}

机构：

[1] Yokohama Natl Univ, Grad Sch Environm & Informat Sci, Dept Math, Yokohama, Kanagawa 240, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 12期

关键词：

coupled Schrodinger equations; sign changing solutions;

D O I：

10.1016/j.na.2007.04.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the multiple existence of solutions of the coupled nonlinear Schrodinger equations {-Delta u + mu(1)u = u(3) + beta v(2)u in R-3 -Delta u + mu(2)v = v(3) + beta u(2)v in R-3 where mu(1), mu(2) and beta > 0. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：3845 / 3859

页数：15

共 50 条

[31] Abstract criteria for multiple solutions to nonlinear coupled equations involving magnetic Schrodinger operators
Enstedt, M.
Melgaard, M.
JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 253 (06) : 1729 - 1743
[32] Instability of multiple pulses in coupled nonlinear Schrodinger equations
Yew, AC
Sandstede, B
Jones, CKRT
PHYSICAL REVIEW E, 2000, 61 (05): : 5886 - 5892
[33] MULTIPLE POSITIVE SOLUTIONS FOR COUPLED SCHRODINGER EQUATIONS WITH PERTURBATIONS
Li, Haoyu
Wang, Zhi-Qiang
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 20 (02) : 867 - 884
[34] EXISTENCE AND BOUNDS FOR MULTIPLE SOLUTIONS OF NONLINEAR EQUATIONS
LAETSCH, T
SIAM JOURNAL ON APPLIED MATHEMATICS, 1970, 18 (02) : 389 - &
[35] BLOWUP AND GLOBAL EXISTENCE OF THE NONLINEAR SCHRODINGER EQUATIONS WITH MULTIPLE POTENTIALS
Gan, Zaihui
Guo, Boling
Zhang, Jian
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2009, 8 (04) : 1303 - 1312
[36] The Cauchy Problem for Coupled Nonlinear Schrodinger Equations with Linear Damping: Local and Global Existence and Blowup of Solutions
Dias, Joao-Paulo
Figueira, Mario
Konotop, Vladimir V.
CHINESE ANNALS OF MATHEMATICS SERIES B, 2016, 37 (05) : 665 - 682
[37] Multiple solutions to nonlinear Schrodinger equations with critical growth
Liu, Wulong
Zhao, Peihao
BOUNDARY VALUE PROBLEMS, 2013,
[38] Multiple solutions for discrete periodic nonlinear Schrodinger equations
Sun, Jijiang
Ma, Shiwang
JOURNAL OF MATHEMATICAL PHYSICS, 2015, 56 (02)
[39] Multiple solutions to some singular nonlinear Schrodinger equations
Lazzo, Monica
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2001,
[40] Existence results for some systems of coupled fractional nonlinear Schrodinger equations
Colorado, Eduardo
RECENT TRENDS IN NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS II: STATIONARY PROBLEMS, 2013, 595 : 135 - 150

← 1 2 3 4 5 →