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    Rapidly Rotating Bose-Einstein Condensates in Homogeneous Traps

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    We 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<2<s <\infty. Writing the coupling constant as 1/ϵ21/\epsilon^2 we study the limit ϵ0\epsilon \to 0. We derive rigorously the leading asymptotics of the ground state energy and the density profile when the rotation velocity \Omega tends to infinity as a power of 1/ϵ1/\epsilon. The case of asymptotically homogeneous potentials is also discussed.Comment: LaTex2e, 16 page
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