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math-ph2011
The Existence of Multi-vortices for a Generalized Self-dual Chern-Simons Model
Xiaosen Han
In this paper we establish the existence of multi-vortices for a generalized self-dual Chern--Simons model. Doubly periodic vortices, topological and non-topological vortex solutio…
math-ph2011
A Sharp Existence Theorem for Vortices in the Theory of Branes
Xiaosen Han
We investigate the BPS equations arising from the theory of multi-intersection of D-branes. By using the direct minimization method, we establish sharp existence and uniqueness the…