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.

中文翻译：

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具有一般有界势的有吸引力的 Gross-Pitaevskii 极小化器的存在和爆破

该论文关注的是当相互作用强度增加到临界值时，2D 有吸引力的 Gross-Pitaevskii 泛函的极小化器的存在和膨胀行为。我们的结果适用于所有满足一些一般假设的有界外部势。