English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We investigate the BPS equations arising from the theory ofmulti-intersection of D-branes. By using the direct minimization method, weestablish sharp existence and uniqueness theorems for multiple vortex solutionsof the BPS equations over a doubly periodic domain and over the full plane,respectively. In particular, we obtain an explicit necessary and sufficientcondition for the existence of a unique solution for the doubly periodic domaincase.

A Sharp Existence Theorem for Vortices in the Theory of Branes