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

被引：15

作者：

Farina, Alberto ^{[1
]}

Sciunzi, Berardino ^{[2
]}

Soave, Nicola ^{[3
]}

机构：

[1] Univ Picardie Jules Verne, CNRS, UMR 7352, LAMFA, 33 Rue St Leu, F-80039 Amiens, France

[2] UNICAL, Dipartimento Matemat & Informat, Ponte Pietro Bucci 31B, I-87036 Cosenza, Italy

[3] Politecn Milan, Dipartimento Matemat, Piazza Leonardo da Vinci 32, I-20133 Milan, Italy

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2020年 / 22卷 / 05期

关键词：

Rigidity and symmetry results; elliptic systems; Liouville-type theorems; LAYERED SOLUTIONS; CONJECTURE; EQUATIONS; SYMMETRY; GIORGI;

D O I：

10.1142/S0219199719500445

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：24

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