Harnack inequality for nonlocal problems with non-standard growth

被引：14

作者：

Chaker, Jamil ^{[1
]}

Kim, Minhyun ^{[1
]}

Weidner, Marvin ^{[1
]}

机构：

[1] Univ Bielefeld, Fak Math, D-33615 Bielefeld, Germany

来源：

MATHEMATISCHE ANNALEN | 2023年 / 386卷 / 1-2期

关键词：

35B65; 47G20; 35D30; 35B45; 35A15; REGULARITY;

D O I：

10.1007/s00208-022-02405-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a full Harnack inequality for local minimizers, as well as weak solutions to nonlocal problems with non-standard growth. The main auxiliary results are local boundedness and a weak Harnack inequality for functions in a corresponding De Giorgi class. This paper builds upon a recent work on regularity estimates for such nonlocal problems by the same authors.

引用

页码：533 / 550

页数：18

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