2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169355We consider a system of Gross-Pitaevskii equations in R^2 modelling a mixture of two Bose-Einstein condensates with repulsive interaction. We aim to study the qualitative behaviour of ground and excited state solutions. We allow two different harmonic and off-centered trapping potentials and study the spatial patterns of the solutions within the Thomas-Fermi approximation as well as phase segregation phenomena within the large-interaction regime.21 pages, to appear in Dyn. Partial Diff. EquatAnalysis of PDEs35B40; 35Q55text