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Construction of a solution for the two-component radial Gross-Pitaevskii system with a large coupling parameter

par Casteras, Jean-Baptiste ;Sourdis, Christos
Référence Journal of functional analysis, 279, 8, 108674
Publication Publié, 2020-11

Article révisé par les pairs

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Résumé :

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.