Non-topological Condensates for the Self-dual Maxwell-Chern-Simons Model

Abstract

In this paper, the authors study the elliptic system arising from the study of Maxwell-Chern-Simons model. They show that there exists a family of non-topological solutions with magnetic field concentrated at some of the vortex points as the two physical parameters satisfying almost optimal conditions where the limiting profile is the singular Liouville equation.

Keywords

Self-dual Maxwell-Chern-Simons model / Non-topological condensates / Vortex concentration / 35B40 / 35J47

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