Gradient regularity in mixed local and nonlocal problems

被引：58
作者：
De Filippis, Cristiana [1 ]
Mingione, Giuseppe [1 ]
机构：
[1] Univ Parma, Dipartimento SMFI, Viale Sci 53-A, I-43124 Parma, Italy
来源：
MATHEMATISCHE ANNALEN | 2024年 / 388卷 / 01期
关键词：
49N60; 35J60; 35R11; HOLDER REGULARITY; BOUNDARY-REGULARITY; GAGLIARDO-NIRENBERG; HARNACK PRINCIPLE; DIRICHLET PROBLEM; FUNCTIONALS; MINIMIZERS; EQUATIONS; INEQUALITIES; LAPLACIAN;
D O I：
10.1007/s00208-022-02512-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Minimizers of functionals of the type w ? integral(omega)[|Dw|(p) - fw]dx + integral(Rn) integral(Rn )|w(x) - w(y)|(gamma)/|x - y|(n+s gamma) dx dy with p, gamma > 1 > s > 0 and p > s gamma, are locally C-1,C-alpha-regular in omega and globally Holder continuous.
引用
收藏
页码：261 / 328
页数：68
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