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

Farina A.;Sciunzi B.;Soave N.
2020

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.
elliptic systems
Liouville-type theorems
Rigidity and symmetry results
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/1157557
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