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.
Monotonicity and rigidity of solutions to some elliptic systems with uniform limits
Sciunzi B.;
2020-01-01
Abstract
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.File in questo prodotto:
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