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arXiv:1704.06430 [math.AP]AbstractReferencesReviewsResources

Monotonicity and rigidity of solutions to some elliptic systems with uniform limits

Alberto Farina, Berardino Sciunzi, Nicola Soave

Published 2017-04-21Version 1

In this paper we prove the validity of Gibbons' conjecture for a coupled competing Gross-Pitaevskii system. We also provide sharp a priori bounds, regularity results and additional Liouville-type theorems.

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