One-dimensional symmetry of solutions to non-cooperative elliptic systems

被引：2
|
作者：
Phuong Le [1 ,2 ]
机构：
[1] Univ Econ & Law, Fac Econ Math, Ho Chi Minh City, Vietnam
[2] Vietnam Natl Univ, Ho Chi Minh City, Vietnam
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2023年 / 227卷
关键词：
Non-cooperative systems; Gross-Pitaevskii system; One-dimensional symmetry; Domain walls; Sliding method; GIORGIS CONJECTURE; EQUATIONS;
D O I：
10.1016/j.na.2022.113156
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the monotonicity and one-dimensional symmetry of solutions to non-cooperative elliptic systems in R-N with uniform limits under mild assumptions on the nonlinearities. These problems arise in the study of domain walls and interface layers of two-component Bose-Einstein condensates in the segregation regime. We also derive analogous results for systems in half-spaces and strips. We introduce a variant of the sliding method for non-cooperative elliptic systems to prove our results. (c) 2022 Elsevier Ltd. All rights reserved.
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页数：15
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