# Converse problem for the two-component radial Gross-Pitaevskii system with a large coupling parameter

## Main Article Content

## Abstract

We consider strongly coupled competitive elliptic systems that arise in the study of two-component Bose-Einstein condensates. As the coupling parameter tends to infinity, solutions that remain uniformly bounded are known to converge to a segregated limiting profile, with the difference of its components satisfying a limit scalar PDE. In the case of radial symmetry, under natural non-degeneracy assumptions on a solution of the limit problem, we establish by a perturbation argument its persistence as a solution to the elliptic system.

## Article Details

How to Cite

Casteras, J., & Sourdis, C.
(2017).
Converse problem for the two-component radial Gross-Pitaevskii system with a large coupling parameter.

*Proceedings Of Equadiff 2017 Conference,*, 397-406. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/equadiff/article/view/809/606
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