Existence and blow-up of attractive Gross-Pitaevskii minimizers with general bounded potentials

Published 27 Aug 2018 in math-ph and math.MP | (1808.08918v1)

Abstract: The paper is concerned with the existence and blow-up behavior of the minimizers for the 2D attractive Gross-Pitaevskii functional when the interaction strength increases to a critical value. Our results hold for all bounded external potential satisfying some general assumptions.

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Thanh Viet Phan

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