Infinitely many segregated vector solutions of Schrodinger system

Ohsang Kwon; Min Gi Lee; Youngae Lee

doi:10.1016/j.jmaa.2022.126094

Infinitely many segregated vector solutions of Schrodinger system

Ohsang Kwon
, Min Gi Lee
, Youngae Lee

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

3 Scopus citations

Abstract

We consider the following system of Schrödinger equations {−ΔU+λU=α₀U³+βUV²−ΔV+μ(y)V=α₁V³+βU²VinR^N,N=2,3, where λ, α₀, α₁>0 are positive constants, β∈R is the coupling constant, and μ:R^N→R is a potential function. Continuing the work of Lin and Peng [6], we present a solution of the type where one species has a peak at the origin and the other species has many peaks over a circle, but as seen in the above, coupling terms are nonlinear.

Original language	English
Article number	126094
Journal	Journal of Mathematical Analysis and Applications
Volume	512
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2022.126094
State	Published - 15 Aug 2022

Keywords

Coupled Schrodinger system
Distribution of bump
Energy expansion
Segregation
Vector solution

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10.1016/j.jmaa.2022.126094

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title = "Infinitely many segregated vector solutions of Schrodinger system",

abstract = "We consider the following system of Schr{\"o}dinger equations \{−ΔU+λU=α0U3+βUV2−ΔV+μ(y)V=α1V3+βU2VinRN,N=2,3, where λ, α0, α1>0 are positive constants, β∈R is the coupling constant, and μ:RN→R is a potential function. Continuing the work of Lin and Peng [6], we present a solution of the type where one species has a peak at the origin and the other species has many peaks over a circle, but as seen in the above, coupling terms are nonlinear.",

keywords = "Coupled Schrodinger system, Distribution of bump, Energy expansion, Segregation, Vector solution",

author = "Ohsang Kwon and Lee, \{Min Gi\} and Youngae Lee",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Inc.",

year = "2022",

month = aug,

day = "15",

doi = "10.1016/j.jmaa.2022.126094",

language = "English",

volume = "512",

journal = "Journal of Mathematical Analysis and Applications",

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TY - JOUR

T1 - Infinitely many segregated vector solutions of Schrodinger system

AU - Kwon, Ohsang

AU - Lee, Min Gi

AU - Lee, Youngae

PY - 2022/8/15

Y1 - 2022/8/15

N2 - We consider the following system of Schrödinger equations {−ΔU+λU=α0U3+βUV2−ΔV+μ(y)V=α1V3+βU2VinRN,N=2,3, where λ, α0, α1>0 are positive constants, β∈R is the coupling constant, and μ:RN→R is a potential function. Continuing the work of Lin and Peng [6], we present a solution of the type where one species has a peak at the origin and the other species has many peaks over a circle, but as seen in the above, coupling terms are nonlinear.

AB - We consider the following system of Schrödinger equations {−ΔU+λU=α0U3+βUV2−ΔV+μ(y)V=α1V3+βU2VinRN,N=2,3, where λ, α0, α1>0 are positive constants, β∈R is the coupling constant, and μ:RN→R is a potential function. Continuing the work of Lin and Peng [6], we present a solution of the type where one species has a peak at the origin and the other species has many peaks over a circle, but as seen in the above, coupling terms are nonlinear.

KW - Coupled Schrodinger system

KW - Distribution of bump

KW - Energy expansion

KW - Segregation

KW - Vector solution

UR - https://www.scopus.com/pages/publications/85126937875

U2 - 10.1016/j.jmaa.2022.126094

DO - 10.1016/j.jmaa.2022.126094

M3 - Article

AN - SCOPUS:85126937875

SN - 0022-247X

VL - 512

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

M1 - 126094

ER -

Infinitely many segregated vector solutions of Schrodinger system

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Keywords

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