2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139695We extend the results of a previous paper on the Gross-Pitaevskii description of rotating Bose-Einstein condensates in two-dimensional traps to confining potentials of the form V(r) = r^s, $2<s <\infty$. Writing the coupling constant as $1/ε^2$ we study the limit $ε\to 0$. We derive rigorously the leading asymptotics of the ground state energy and the density profile when the rotation velocity Ωtends to infinity as a power of $1/ε$. The case of asymptotically homogeneous potentials is also discussed.LaTex2e, 16 pagesMathematical PhysicsOther Condensed MatterStatistical Mechanics35Q55; 47J30; 76M23text