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Pré-Publication, Document De Travail Année : 2019

Existence of minimizers in generalized Gross-Pitaevskii theory with the Lee-Huang-Yang correction

Résumé

We study the dipolar Gross-Piteavskii functional with the Lee-Huang-Yang (LHY) correction term without trapping potential and in the regime where the dipole-dipole interaction dominates the repulsive short-range interaction. We show that, above a critical mass, the functional admits minimizers and we prove their regularity and exponential decay. We also estimate the critical mass in terms of the parameters of the system.
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Dates et versions

hal-02104829 , version 1 (19-04-2019)
hal-02104829 , version 2 (27-04-2019)

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Arnaud Triay. Existence of minimizers in generalized Gross-Pitaevskii theory with the Lee-Huang-Yang correction. 2019. ⟨hal-02104829v2⟩
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