Infinitely many solutions for nonlinear schrodinger system with non-symmetric potentials

Weiwei Ao; Liping Wang; Wei Yao

doi:10.3934/cpaa.2016.15.965

Infinitely many solutions for nonlinear schrodinger system with non-symmetric potentials

Weiwei Ao
, Liping Wang^*
, Wei Yao

^*此作品的通讯作者

数学科学学院

University of British Columbia
Universidad de Chile

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

Without any symmetric conditions on potentials, we proved the following nonlinear Schrodinger system [EQUATION PRESENTED] has infinitely many non-radial solutions with suitable decaying rate at infinity of potentials P(x) and Q(x). This is the continued work of [8]. Especially when P(x) and Q(x) are symmetric, this result has been proved in [18].

源语言	英语
页（从-至）	965-989
页数	25
期刊	Communications on Pure and Applied Analysis
卷	15
期	3
DOI	https://doi.org/10.3934/cpaa.2016.15.965
出版状态	已出版 - 5月 2016

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10.3934/cpaa.2016.15.965

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引用此

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title = "Infinitely many solutions for nonlinear schrodinger system with non-symmetric potentials",

abstract = "Without any symmetric conditions on potentials, we proved the following nonlinear Schrodinger system [EQUATION PRESENTED] has infinitely many non-radial solutions with suitable decaying rate at infinity of potentials P(x) and Q(x). This is the continued work of [8]. Especially when P(x) and Q(x) are symmetric, this result has been proved in [18].",

keywords = "Infinitely many solutions, Intermediate reduction method, Non-symmetric potentials, Schrodinger system",

author = "Weiwei Ao and Liping Wang and Wei Yao",

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AU - Ao, Weiwei

AU - Wang, Liping

AU - Yao, Wei

PY - 2016/5

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N2 - Without any symmetric conditions on potentials, we proved the following nonlinear Schrodinger system [EQUATION PRESENTED] has infinitely many non-radial solutions with suitable decaying rate at infinity of potentials P(x) and Q(x). This is the continued work of [8]. Especially when P(x) and Q(x) are symmetric, this result has been proved in [18].

AB - Without any symmetric conditions on potentials, we proved the following nonlinear Schrodinger system [EQUATION PRESENTED] has infinitely many non-radial solutions with suitable decaying rate at infinity of potentials P(x) and Q(x). This is the continued work of [8]. Especially when P(x) and Q(x) are symmetric, this result has been proved in [18].

KW - Infinitely many solutions

KW - Intermediate reduction method

KW - Non-symmetric potentials

KW - Schrodinger system

UR - https://www.scopus.com/pages/publications/84958817779

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DO - 10.3934/cpaa.2016.15.965

M3 - 文章

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SN - 1534-0392

VL - 15

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