Existence theorems for periodic non-relativistic Maxwell-Chern-Simons solitons

Joel Spruck, Yisong Yang

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Pages (from-to)571-589
Number of pages19
JournalJournal of Differential Equations
Volume127
Issue number2
DOIs
StatePublished - May 20 1996

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Solitons
Existence Theorem
Vortex flow
Chern-Simons Theories
Condensate
Physical Model
Elliptic Equations
Scalar Field
Existence Results
Existence of Solutions
Vortex
Space-time
Restriction
Cell
Arbitrary
Coefficient

ASJC Scopus subject areas

  • Analysis

Cite this

Existence theorems for periodic non-relativistic Maxwell-Chern-Simons solitons. / Spruck, Joel; Yang, Yisong.

In: Journal of Differential Equations, Vol. 127, No. 2, 20.05.1996, p. 571-589.

Research output: Contribution to journalArticle

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