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Uniqueness conjecture for the Gross–Pitaevskii domain-wall energy minimizer
Uniqueness conjecture. The minimizer $U(x)$ of the energy $E$ in $X$ is unique, up to translation and gauge invariance.
Conjectureopendomain-walls gross-pitaevskii-equations orbital-stabilityarXiv posted 2 days ago

Uniqueness conjecture for the Gross–Pitaevskii domain-wall energy minimizer