37 citations · 174 across the 19 of their papers we have counts for
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math-ph2012
Doubly Periodic Self-Dual Vortices for a Relativistic Non-Abelian Chern--Simons Model
Xiaosen Han, Gabriella Tarantello
In this paper we establish a multiplicity result concerning the existence of doubly periodic solutions for a nonlinear elliptic system arising in the study of self-dual…
math-ph2012★ 26 cited
Existence Theorems for Vortices in the Aharony--Bergman--Jaferis--Maldacena Model
Xiaosen Han, Yisong Yang
A series of sharp existence and uniqueness theorems are established for the multiple vortex solutions in the supersymmetric Chern--Simons--Higgs theory formalism of Aharony, Bergma…
math-ph2012★ 1 cited
Existence of Doubly Periodic Vortices in a Generalized Chern--Simons Model
Xiaosen Han
We establish an existence theorem for the doubly periodic vortices in a generalized self-dual Chern--Simons model. We show that there exists a critical value of the coupling parame…