TY - JOUR
T1 - Infinitely many segregated vector solutions of Schrodinger system
AU - Kwon, Ohsang
AU - Lee, Min Gi
AU - Lee, Youngae
N1 - Publisher Copyright:
© 2022 Elsevier Inc.
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 - http://www.scopus.com/inward/record.url?scp=85126937875&partnerID=8YFLogxK
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 -