Existence and blow-up of attractive Gross-Pitaevskii minimizers with general bounded potentials
classification
🧮 math-ph
math.MP
keywords
attractiveblow-upboundedexistencegeneralgross-pitaevskiiminimizersassumptions
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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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