Main Article Content
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.
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