Monotonicity and rigidity of solutions to some elliptic systems with uniform limits
classification
🧮 math.AP
keywords
additionalboundscompetingconjecturecoupledellipticgibbonsgross-pitaevskii
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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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