Hölder and Harnack estimates for integro-differential operators with kernels of measure

被引：0

作者：

Chen, Jingya ^{[1
,2
]}

机构：

[1] Jilin Univ, Sch Math, Qianjin Str 2699, Changchun 130012, Jilin, Peoples R China

[2] Univ Salzburg, Fachbereich Math, Hellbrunner Str 34, A-5020 Salzburg, Austria

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2025年

关键词：

Nonlocal; H & ouml; lder regularity; Harnack estimate; INEQUALITY; REGULARITY;

D O I：

10.1007/s10231-025-01546-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish H & ouml;lder and Harnack estimates for weak solutions of a class of elliptic nonlocal equations that are modeled on integro-differential operators with kernels of measure. The approach is of De Giorgi-type, as developed by DiBenedetto, Gianazza and Vespri in a local setting. Our results generalize the work by Dyda and Kassmann (Anal PDE 13(2):317-370, 2020).

引用

页数：38

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