Existence and multiplicity of positive bound states for Schrödinger equations

被引：0
作者：
Sun Sheng
Fanglei Wang
Tianqing An
机构：
[1] Hohai University,College of Science
来源：
Boundary Value Problems | / 2013卷
关键词：
nonlinear Schrödinger systems; positive solutions; fixed point theorems;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the existence and multiplicity of positive bound states of non-autonomous systems of nonlinear Schrödinger equations. The proof is based on the fixed point theorems in a cone.
引用
收藏
相关论文
共 12 条
[1]  
Ambrosetti A(2007)Standing waves of some coupled nonlinear Schrödinger equations J. Lond. Math. Soc 75 67-82
[2]  
Colorado E(2008)Remarks on some systems of nonlinear Schrödinger equations J. Fixed Point Theory Appl 4 35-46
[3]  
Ambrosetti A(2008)Solitons of linearly coupled systems of semilinear non-autonomous equations on J. Funct. Anal 254 2816-2845
[4]  
Ambrosetti A(2006)Guided waves in a multi-layered optical structure Nonlinearity 19 2103-2113
[5]  
Cerami G(2009)Solitary waves for linearly coupled nonlinear Schrödinger equations with inhomogeneous coefficients J. Nonlinear Sci 19 437-451
[6]  
Ruiz D(2010)Positive bound states of systems of nonlinear Schrödinger equations Nonlinear Anal 72 1983-1992
[7]  
Torres PJ(2001)On positive solutions of boundary value problems on the half-line J. Math. Anal. Appl 259 127-136
[8]  
Belmonte-Beitia J(undefined)undefined undefined undefined undefined-undefined
[9]  
Pérez-García VM(undefined)undefined undefined undefined undefined-undefined
[10]  
Torres PJ(undefined)undefined undefined undefined undefined-undefined
12