Monotonicity and rigidity of solutions to some elliptic systems with uniform limits
Analysis of PDEs
2017-04-24 v1
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.
Keywords
Cite
@article{arxiv.1704.06430,
title = {Monotonicity and rigidity of solutions to some elliptic systems with uniform limits},
author = {Alberto Farina and Berardino Sciunzi and Nicola Soave},
journal= {arXiv preprint arXiv:1704.06430},
year = {2017}
}