Gradient Estimates and Harnack Inequalities for Positive Solutions of ■ on Self-shrinkers

被引：0
|
作者：
Ye Cheng ZHU [1 ,2 ]
Qing CHEN [2 ]
机构：
[1] Department of Applied Mathematics, Anhui University of Technology
[2] Department of Mathematics, University of Science and Technology of
来源：
ActaMathematicaSinica | 2019年 / 35卷 / 07期
关键词：
D O I：
暂无
中图分类号：
O178 [不等式及其他];
学科分类号：
摘要：
In this paper, we investigate the positive solutions of ■ on self-shrinkers, then get some gradient estimates and Harnack inequalities for the positive solutions.
引用
收藏
页码：1217 / 1226
页数：10
相关论文
共 50 条
  • [21] A Survey of Closed Self-Shrinkers with Symmetry
    Gregory Drugan
    Hojoo Lee
    Xuan Hien Nguyen
    Results in Mathematics, 2018, 73
  • [22] On the Rigidity of Mean Convex Self-Shrinkers
    Guang, Qiang
    Zhu, Jonathan J.
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2018, 2018 (20) : 6406 - 6425
  • [23] A note on the characterization of spheres as self-shrinkers
    Costa-Filho, Wagner O.
    ARCHIV DER MATHEMATIK, 2020, 115 (06) : 737 - 739
  • [24] Entropy Bounds for Self-Shrinkers with Symmetries
    John Man Shun Ma
    Ali Muhammad
    The Journal of Geometric Analysis, 2024, 34
  • [25] Vanishing theorems, higher order mean curvatures and index estimates for self-shrinkers
    Bessa, Gregorio Pacelli
    Pessoa, Leandro F.
    Rigoli, Marco
    ISRAEL JOURNAL OF MATHEMATICS, 2018, 226 (02) : 703 - 736
  • [26] The rigidity theorems for Lagrangian self-shrinkers
    Ding, Qi
    Xin, Yuanlong
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2014, 692 : 109 - 123
  • [27] A note on the characterization of spheres as self-shrinkers
    Wagner O. Costa-Filho
    Archiv der Mathematik, 2020, 115 : 737 - 739
  • [28] Halfspace type theorems for self-shrinkers
    Cavalcante, Marcos P.
    Espinar, Jose M.
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2016, 48 : 242 - 250
  • [29] A note on rigidity of spacelike self-shrinkers
    Luo, Yong
    Qiu, Hongbing
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2020, 31 (05)
  • [30] Vanishing theorems, higher order mean curvatures and index estimates for self-shrinkers
    Gregório Pacelli Bessa
    Leandro F. Pessoa
    Marco Rigoli
    Israel Journal of Mathematics, 2018, 226 : 703 - 736
12345