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

来源：

BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR | 2023年 / 14卷 / 01期

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

页码：95 / 115

页数：21

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