On isoperimetric problem in 2-dimensional Randers space

被引:0
|
作者
Zhu, Hongmei [1 ]
Li, Ranran [2 ]
机构
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China
[2] Hangzhou Dianzi Univ, Sch Sci, Dept Math, Hangzhou 310018, Peoples R China
基金
中国国家自然科学基金;
关键词
Isoperimetric problem; Randers space; Spherically symmetric metric; FINSLER METRICS;
D O I
10.1016/j.difgeo.2023.102062
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we prove that the circle centered at the origin in B2(delta xi) is a proper maximum of the isoperimetric problem in a 2-dimensional Randers space endowed with 3-parameter family of non-locally projectively flat Finsler metrics of non constant isotropic S-curvature. (c) 2023 Elsevier B.V. All rights reserved.
引用
收藏
页数:19
相关论文
共 50 条
  • [21] 2-DIMENSIONAL MEAN PROBLEM
    BLAKLEY, GR
    BOROSH, I
    CHUI, CK
    JOURNAL OF APPROXIMATION THEORY, 1978, 22 (01) : 11 - 26
  • [22] ON A 2-DIMENSIONAL SEARCH PROBLEM
    RUSZINKO, M
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1993, 37 (03) : 371 - 383
  • [23] A fractional isoperimetric problem in the Wiener space
    Novaga, Matteo
    Pallara, Diego
    Sire, Yannick
    JOURNAL D ANALYSE MATHEMATIQUE, 2018, 134 (02): : 787 - 800
  • [24] A fractional isoperimetric problem in the Wiener space
    Matteo Novaga
    Diego Pallara
    Yannick Sire
    Journal d'Analyse Mathématique, 2018, 134 : 787 - 800
  • [25] On the isoperimetric problem in Euclidean space with density
    César Rosales
    Antonio Cañete
    Vincent Bayle
    Frank Morgan
    Calculus of Variations and Partial Differential Equations, 2008, 31 : 27 - 46
  • [26] On the isoperimetric problem in Euclidean space with density
    Rosales, Cesar
    Canete, Antonio
    Bayle, Vincent
    Morgan, Frank
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2008, 31 (01) : 27 - 46
  • [27] 3-DIMENSIONAL ISOPERIMETRIC PROBLEM
    KOMHOFF, M
    CANADIAN MATHEMATICAL BULLETIN, 1970, 13 (04): : 447 - &
  • [28] A dynamical 2-dimensional fuzzy space
    Buric, M
    Madore, J
    PHYSICS LETTERS B, 2005, 622 (1-2) : 183 - 191
  • [29] GRIDS IN WEILS 2-DIMENSIONAL SPACE
    ZLATANOV, G
    DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1976, 29 (05): : 619 - 622
  • [30] On the 2-dimensional dual Minkowski problem
    Jiang, Yongsheng
    Wu, Yonghong
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 263 (06) : 3230 - 3243