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20162026
most citedOn Ambrosetti-Malchiodi-Ni conjecture on two-dimensional smooth bounded domains: clustering concentration layers

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math.AP2026

Solutions with one dimensional concentration for a two dimensional Gross-Pitaevskii model with general potential

Lipeng Duan, Suting Wei, Jun Yang

We concern standing wave solutions with frequency to a two dimensional Gross-Pitaevskii equation with a trap potential under the unit mass constraint, which is used to describe…