A DETOUR ON A CLASS OF NONLOCAL DEGENERATE OPERATORS

被引:0
|
作者
Schiera, Delia [1 ]
机构
[1] Univ Lisbon, Dept Matemat, Inst Super Tecn, Ave Rovisco Pais, P-1049001 Lisbon, Portugal
关键词
Maximum and comparison principles; Fully nonlinear degenerate elliptic PDE; Nonlocal operators; Eigenvalue problem; VISCOSITY SOLUTIONS; MAXIMUM PRINCIPLE; DIRICHLET PROBLEM; EIGENVALUES; GUIDE;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We present some recent results on a class of degenerate operators which are modeled on the fractional Laplacian, converge to the truncated Laplacian, and are extremal among operators with fractional diffusion along subspaces of possibly different dimensions. In particular, we will recall basic properties of these operators, validity of maximum principles, and related phenomena.
引用
收藏
页码:95 / 115
页数:21
相关论文
共 50 条
  • [1] Invertibility for a class of degenerate elliptic operators
    Julio Delgado
    Alex M. Zamudio
    Journal of Pseudo-Differential Operators and Applications, 2010, 1 : 207 - 231
  • [2] Invertibility for a class of degenerate elliptic operators
    Delgado, Julio
    Zamudio, Alex M.
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2010, 1 (02) : 207 - 231
  • [3] Lp ESTIMATES FOR A CLASS OF DEGENERATE OPERATORS
    Metafune, Giorgio
    Negro, Luigi
    Spina, Chiara
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024, 17 (5-6): : 1766 - 1791
  • [4] A Class of Nonlocal Hypoelliptic Operators and their Extensions
    Garofalo, Nicola
    Tralli, Giulio
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2021, 70 (05) : 1717 - 1744
  • [5] A Class of High Order Nonlocal Operators
    Tian, Xiaochuan
    Du, Qiang
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2016, 222 (03) : 1521 - 1553
  • [6] A Class of High Order Nonlocal Operators
    Xiaochuan Tian
    Qiang Du
    Archive for Rational Mechanics and Analysis, 2016, 222 : 1521 - 1553
  • [7] A family of nonlocal degenerate operators: maximum principles and related properties
    Schiera, Delia
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2024, 31 (01):
  • [8] Stability for a Class of Extensible Beams with Degenerate Nonlocal Damping
    Zhou, Cong
    Sun, Chunyou
    JOURNAL OF GEOMETRIC ANALYSIS, 2023, 33 (09)
  • [9] Stability for a Class of Extensible Beams with Degenerate Nonlocal Damping
    Cong Zhou
    Chunyou Sun
    The Journal of Geometric Analysis, 2023, 33
  • [10] A family of nonlocal degenerate operators: maximum principles and related properties
    Delia Schiera
    Nonlinear Differential Equations and Applications NoDEA, 2024, 31