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

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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].

Original language	English
Pages (from-to)	965-989
Number of pages	25
Journal	Communications on Pure and Applied Analysis
Volume	15
Issue number	3
DOIs	https://doi.org/10.3934/cpaa.2016.15.965
State	Published - May 2016

Keywords

Infinitely many solutions
Intermediate reduction method
Non-symmetric potentials
Schrodinger system

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10.3934/cpaa.2016.15.965

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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",

year = "2016",

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T1 - Infinitely many solutions for nonlinear schrodinger system with non-symmetric potentials

AU - Ao, Weiwei

AU - Wang, Liping

AU - Yao, Wei

PY - 2016/5

Y1 - 2016/5

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

U2 - 10.3934/cpaa.2016.15.965

DO - 10.3934/cpaa.2016.15.965

M3 - 文章

AN - SCOPUS:84958817779

SN - 1534-0392

VL - 15

SP - 965

EP - 989

JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

IS - 3

ER -

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

Abstract

Keywords

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