Local behavior of fractional p-minimizers

被引：278
作者：
Di Castro, Agnese [1 ,2 ]
Kuusi, Tuomo [4 ]
Palatucci, Giampiero [1 ,3 ]
机构：
[1] Univ Parma, Dipartimento Matemat & Informat, Campus Parco Area Sci 53-A, I-43124 Parma, Italy
[2] Univ Roma, Dipartimento SBAI, Via Scarpa 16, I-00161 Rome, Italy
[3] SISSA, Via Bonomea 256, I-34136 Trieste, Italy
[4] Aalto Univ, Dept Math & Syst Anal, POB 1100, Aalto 00076, Finland
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2016年 / 33卷 / 05期
基金：
芬兰科学院;
关键词：
Quasilinear nonlocal operators; Fractional Sobolev spaces; Holder regularity; Caccioppoli estimates; Singular perturbations; EQUATIONS; OPERATORS; LAPLACE;
D O I：
10.1016/j.anihpc.2015.04.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We extend the De Giorgi-Nash-Moser theory to nonlocal, possibly degenerate integro-differential operators. (C) 2015 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：1279 / 1299
页数：21
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