Monotonicity and rigidity of solutions to some elliptic systems with uniform limits-Reference-Cited by-同舟云学术

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

Published:2019-06-07 Issue:05 Volume:22 Page:1950044
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Farina Alberto¹,Sciunzi Berardino²,Soave Nicola³

Affiliation:

1. LAMFA, CNRS UMR 7352, Université de Picardie Jules Verne, 33 rue Saint-Leu, 80039 Amiens, France

2. Dipartimento di Matematica e Informatica, UNICAL, Ponte Pietro Bucci 31B, 87036 Arcavacata di Rende, Cosenza, Italy

3. Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133 Milano, Italy

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199719500445

Reference39 articles.

1. Interface layer of a two-component Bose–Einstein condensate

2. Domain Walls in the Coupled Gross–Pitaevskii Equations

3. Stationary layered solutions in ${\Bbb R}^2$ for an Allen-Cahn system with multiple well potential

4. Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi

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