Calculus of Variations and Geometric Measure Theory

A. Farina - B. Sciunzi - N. Soave

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

created by soave on 26 Jul 2017
modified on 10 Sep 2019


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


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.