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.

引用

页数：15

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