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
收藏
页数：15
相关论文
共 50 条
  • [21] Positive Solutions for Non-cooperative Singular p-Laplacian Systems
    Hai, D. D.
    [J]. TOKYO JOURNAL OF MATHEMATICS, 2012, 35 (02) : 321 - 331
  • [22] On the Asymptotic Shape of Solutions to Neumann Problems for Non-cooperative Parabolic Systems
    Alberto Saldaña
    Tobias Weth
    [J]. Journal of Dynamics and Differential Equations, 2015, 27 : 307 - 332
  • [23] One-Dimensional Symmetry for the Solutions of a Three-Dimensional Water Wave Problem
    Cinti, Eleonora
    Miraglio, Pietro
    Valdinoci, Enrico
    [J]. JOURNAL OF GEOMETRIC ANALYSIS, 2020, 30 (02) : 1804 - 1835
  • [24] One-Dimensional Symmetry for the Solutions of a Three-Dimensional Water Wave Problem
    Eleonora Cinti
    Pietro Miraglio
    Enrico Valdinoci
    [J]. The Journal of Geometric Analysis, 2020, 30 : 1804 - 1835
  • [25] Non-cooperative elliptic systems modeling interactions of Bose-Einstein condensates in RN
    Maia, Liliane A.
    Soares, Mayra
    Ruviaro, Ricardo
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2020, 71 (04):
  • [26] Invertibility of linear non-cooperative elliptic systems with applications to the predator-prey model
    Lopez-Gomez, Julian
    Pardo, Rosa
    [J]. Nonlinear Analysis, Theory, Methods and Applications, 1997, 30 (06): : 3695 - 3705
  • [27] Asymptotic behaviour of solutions to one-dimensional reaction diffusion cooperative systems involving infinitesimal generators
    Yangari, Miguel
    [J]. JOURNAL OF APPLIED ANALYSIS, 2016, 22 (01) : 55 - 65
  • [28] Effects of symmetry on paradoxes in non-cooperative distributed computing
    Kameda, H
    Hosokawa, Y
    [J]. ICM MILLENNIUM LECTURES ON GAMES, 2003, : 373 - 390
  • [29] Liouville-type results for non-cooperative elliptic systems in a half-space
    Dancer, E. N.
    Weth, Tobias
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2012, 86 : 111 - 128
  • [30] Invertibility of linear non-cooperative elliptic systems with applications to the predator-prey model
    Lopez-Gomez, J
    Pardo, R
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (06) : 3695 - 3705
12345