4.5 Article

Existence of radial solutions in the Chern-Simons-Higgs model with its N=2 SUSY extension

Journal

NONLINEARITY
Volume 34, Issue 6, Pages 3907-3935

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1361-6544/abf33b

Keywords

selfduality; Bogomol'nyi bound; Chern-Simons; supersymmetry

Funding

  1. Ministry of Science and Technology, Taiwan [106-2628-M-009-005-MY4, 108-2112-M-003-004]

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This paper investigates a system of elliptic equations in R-2 N=2 SUSY extension and shows the existence of radial solutions for its topological, mixed type, and non-topological solutions.
In this paper, we study a system of elliptic equations in R-2 N=2 SUSY extension. This system is expected to have three types of solutions: topological solutions, mixed type solutions and non-topological solutions. We establish the existence of the radial solutions of these three types.

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