Infinitely many solutions for nonlinear Schrödinger equations with slow decaying of potential

Liping Wang; Chunyi Zhao

doi:10.3934/dcds.2017071

Infinitely many solutions for nonlinear Schrödinger equations with slow decaying of potential

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

11 引用（Scopus）

摘要

In the paper we prove the multiplicity existence of both nonlinear Schrödinger equation and Schrödinger system with slow decaying rate of electric potential at infinity. Namely, for any m;n > 0, the potentials P;Q have the asymptotic behavior {equation presented} then Schrödinger equation and Schrödinger system have infinitely many solutions with arbitrarily large energy, which extends the results of [37] for single Schrödinger equation and [30] for Schrödinger system.

源语言	英语
页（从-至）	1707-1731
页数	25
期刊	Discrete and Continuous Dynamical Systems- Series A
卷	37
期	3
DOI	https://doi.org/10.3934/dcds.2017071
出版状态	已出版 - 3月 2017

访问文件

10.3934/dcds.2017071

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{0d31f315ef764e8a9fc6fe30ecfa92fa,

title = "Infinitely many solutions for nonlinear Schr{\"o}dinger equations with slow decaying of potential",

abstract = "In the paper we prove the multiplicity existence of both nonlinear Schr{\"o}dinger equation and Schr{\"o}dinger system with slow decaying rate of electric potential at infinity. Namely, for any m;n > 0, the potentials P;Q have the asymptotic behavior \{equation presented\} then Schr{\"o}dinger equation and Schr{\"o}dinger system have infinitely many solutions with arbitrarily large energy, which extends the results of [37] for single Schr{\"o}dinger equation and [30] for Schr{\"o}dinger system.",

keywords = "Finite dimension reduction, Nonlinear Schr{\"o}dinger equations, Slow decaying",

author = "Liping Wang and Chunyi Zhao",

year = "2017",

month = mar,

doi = "10.3934/dcds.2017071",

language = "英语",

volume = "37",

pages = "1707--1731",

journal = "Discrete and Continuous Dynamical Systems- Series A",

issn = "1078-0947",

publisher = "American Institute of Mathematical Sciences",

number = "3",

}

TY - JOUR

T1 - Infinitely many solutions for nonlinear Schrödinger equations with slow decaying of potential

AU - Wang, Liping

AU - Zhao, Chunyi

PY - 2017/3

Y1 - 2017/3

N2 - In the paper we prove the multiplicity existence of both nonlinear Schrödinger equation and Schrödinger system with slow decaying rate of electric potential at infinity. Namely, for any m;n > 0, the potentials P;Q have the asymptotic behavior {equation presented} then Schrödinger equation and Schrödinger system have infinitely many solutions with arbitrarily large energy, which extends the results of [37] for single Schrödinger equation and [30] for Schrödinger system.

AB - In the paper we prove the multiplicity existence of both nonlinear Schrödinger equation and Schrödinger system with slow decaying rate of electric potential at infinity. Namely, for any m;n > 0, the potentials P;Q have the asymptotic behavior {equation presented} then Schrödinger equation and Schrödinger system have infinitely many solutions with arbitrarily large energy, which extends the results of [37] for single Schrödinger equation and [30] for Schrödinger system.

KW - Finite dimension reduction

KW - Nonlinear Schrödinger equations

KW - Slow decaying

UR - https://www.scopus.com/pages/publications/85006999815

U2 - 10.3934/dcds.2017071

DO - 10.3934/dcds.2017071

M3 - 文章

AN - SCOPUS:85006999815

SN - 1078-0947

VL - 37

SP - 1707

EP - 1731

JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

IS - 3

ER -

Infinitely many solutions for nonlinear Schrödinger equations with slow decaying of potential

摘要

访问文件

其它文件与链接

学术指纹

引用此