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).
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页数：38
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