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Article Dans Une Revue Communications in Contemporary Mathematics Année : 2020

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

Résumé

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.

Dates et versions

hal-03621404 , version 1 (28-03-2022)

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Alberto Farina, Berardino Sciunzi, Nicola Soave. Monotonicity and rigidity of solutions to some elliptic systems with uniform limits. Communications in Contemporary Mathematics, 2020, 22 (5), ⟨10.1142/S0219199719500445⟩. ⟨hal-03621404⟩
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