TY - JOUR
T1 - Existence theorems for periodic non-relativistic Maxwell-Chern-Simons solitons
AU - Spruck, Joel
AU - Yang, Yisong
PY - 1996/5/20
Y1 - 1996/5/20
N2 - We study the system of elliptic equations ΔS = μ1S + K1ev, Δv = μ2S + K2ev + K3, defined over a doubly-periodic domain in R2, where the coefficients are specifically given by the physical model. This system arises in a self-dual non-relativistic Maxwell-Chern-Simons theory coupled with a neutral scalar field in (2 + 1)-dimensional spacetime and the solutions represent multivortices known as condensates. Our existence results reveal that the number of vortices confined in a periodic cell domain can be arbitrary and that the Chern-Simons coupling parameter imposes no restriction to the existence of solutions.
AB - We study the system of elliptic equations ΔS = μ1S + K1ev, Δv = μ2S + K2ev + K3, defined over a doubly-periodic domain in R2, where the coefficients are specifically given by the physical model. This system arises in a self-dual non-relativistic Maxwell-Chern-Simons theory coupled with a neutral scalar field in (2 + 1)-dimensional spacetime and the solutions represent multivortices known as condensates. Our existence results reveal that the number of vortices confined in a periodic cell domain can be arbitrary and that the Chern-Simons coupling parameter imposes no restriction to the existence of solutions.
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U2 - 10.1006/jdeq.1996.0084
DO - 10.1006/jdeq.1996.0084
M3 - Article
AN - SCOPUS:0030594438
VL - 127
SP - 571
EP - 589
JO - Journal of Differential Equations
JF - Journal of Differential Equations
SN - 0022-0396
IS - 2
ER -