Instability of Type (II) Lawson-Osserman cones

被引：0
|
作者：
Nie, Zhaohu [1 ]
Zhang, Yongsheng [2 ]
机构：
[1] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA
[2] Capital Normal Univ, Acad Multidisciplinary Studies, Beijing 100048, Peoples R China
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2024年 / 63卷 / 09期
关键词：
49Q05; 58E20; 53A10; 53C42; MINIMAL IMMERSIONS;
D O I：
10.1007/s00526-024-02834-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove instability of Type (II) Lawson-Osserman cones in Euclidean spaces, and thus provide a family of (uncountably many) non-smooth unstable minimal graphs of high codimension versus smooth unstable ones by Lawson-Osserman using a min-max technique. To our knowledge, these are the first examples of non-smooth unstable minimal graphs .
引用
收藏
页数：16
相关论文
共 50 条
  • [31] Temperature factor for magnetic instability conditions of type - II superconductors
    Romanovskii, V.
    PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS, 2014, 505 : 89 - 99
  • [32] Corrugation flux front instability in type-II superconductors
    Bass, F
    Shapiro, BY
    Shvartser, M
    PHYSICAL REVIEW LETTERS, 1998, 80 (11) : 2441 - 2444
  • [33] HOLDER TYPE INEQUALITIES IN CONES
    BLAKLEY, GR
    DIXON, RD
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1966, 14 (01) : 1 - &
  • [34] Maximal exponents of polyhedral cones (II)
    Loewy, Raphael
    Tam, Bit-Shun
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (11) : 2861 - 2878
  • [35] Keller-Osserman conditions for diffusion-type operators on Riemannian manifolds
    Mari, Luciano
    Rigoli, Marco
    Setti, Alberto G.
    JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 258 (02) : 665 - 712
  • [36] Vector valley Hall edge solitons in the photonic lattice with type-II Dirac cones
    Yiqing Tian
    Yiqi Zhang
    Yongdong Li
    Milivoj R. Belić
    Frontiers of Physics, 2022, 17
  • [37] Monotonic analysis over cones:: II
    Dutta, J
    Martínez-Legaz, JE
    Rubinov, AM
    OPTIMIZATION, 2004, 53 (5-6) : 529 - 547
  • [38] Vector valley Hall edge solitons in the photonic lattice with type-II Dirac cones
    Tian Yiqing
    Zhang Yiqi
    Li Yongdong
    Milivoj R. Beli&cacute
    Frontiers of Physics, 2022, 17 (05)
  • [39] Robustness of type-II Dirac cones in biphenylene: From nanoribbons to symmetric bilayer stacking
    Lage, L. L.
    Arroyo-Gascon, O.
    Chico, Leonor
    Latge, A.
    PHYSICAL REVIEW B, 2024, 110 (16)
  • [40] Pseudo field effects in type II Weyl semimetals: new probes for over tilted cones
    Sabsovich, Daniel
    Meng, Tobias
    Pikulin, Dmitry, I
    Queiroz, Raquel
    Ilan, Roni
    JOURNAL OF PHYSICS-CONDENSED MATTER, 2020, 32 (48)
12345