Regularity results for mixed local and nonlocal double phase functionals

被引：0
|
作者：
Byun, Sun-Sig [1 ]
Lee, Ho-Sik [2 ]
Song, Kyeong [3 ]
机构：
[1] Seoul Natl Univ, Res Inst Math, Dept Math Sci, Seoul 08826, South Korea
[2] Univ Bielefeld, Fak Math, D-33615 Bielefeld, Germany
[3] Korea Inst Adv Study, Sch Math, Seoul 02455, South Korea
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2025年 / 416卷
基金：
新加坡国家研究基金会;
关键词：
Mixed local and nonlocal functionals; Double phase; Local boundedness; Holder continuity; Harnack inequality; HARNACK PRINCIPLE; DIRICHLET FORMS; EQUATIONS;
D O I：
10.1016/j.jde.2024.10.028
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the De Giorgi-Nash-Moser theory for minimizers of mixed local and nonlocal functionals modeled after v bar right arrow integral(n)(R)integral(n)(R)|v(x)-v(y)|(p)/|x-y|(n+sp)dxdy+integral(Omega)a(x)|Dv|(q)dx, where 0<s<1<p <= q and a(center dot)>= 0. In particular, we prove Holder regularity and Harnack inequality under possibly sharp assumptions on s,p,q and a(center dot).
引用
收藏
页码：1528 / 1563
页数：36
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