Accepted Paper

Inserted: 26 jul 2017
Last Updated: 10 sep 2019

Journal: Communications in Contemporary Mathematics
Year: 2019
Doi: 10.1142/S0219199719500445
Links: Link arXiv

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.