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.
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页数：24
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