We extend the De Giorgi–Nash–Moser theory to nonlocal, possibly degenerate integro-differential operators.
Mots clés : Quasilinear nonlocal operators, Fractional Sobolev spaces, Hölder regularity, Caccioppoli estimates, Singular perturbations
@article{AIHPC_2016__33_5_1279_0,
author = {Di Castro, Agnese and Kuusi, Tuomo and Palatucci, Giampiero},
title = {Local behavior of fractional \protect\emph{p}-minimizers},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {1279--1299},
publisher = {Elsevier},
volume = {33},
number = {5},
year = {2016},
doi = {10.1016/j.anihpc.2015.04.003},
zbl = {1355.35192},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.anihpc.2015.04.003/}
}
TY - JOUR AU - Di Castro, Agnese AU - Kuusi, Tuomo AU - Palatucci, Giampiero TI - Local behavior of fractional p-minimizers JO - Annales de l'I.H.P. Analyse non linéaire PY - 2016 SP - 1279 EP - 1299 VL - 33 IS - 5 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpc.2015.04.003/ DO - 10.1016/j.anihpc.2015.04.003 LA - en ID - AIHPC_2016__33_5_1279_0 ER -
%0 Journal Article %A Di Castro, Agnese %A Kuusi, Tuomo %A Palatucci, Giampiero %T Local behavior of fractional p-minimizers %J Annales de l'I.H.P. Analyse non linéaire %D 2016 %P 1279-1299 %V 33 %N 5 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpc.2015.04.003/ %R 10.1016/j.anihpc.2015.04.003 %G en %F AIHPC_2016__33_5_1279_0
Di Castro, Agnese; Kuusi, Tuomo; Palatucci, Giampiero. Local behavior of fractional p-minimizers. Annales de l'I.H.P. Analyse non linéaire, Tome 33 (2016) no. 5, pp. 1279-1299. doi : 10.1016/j.anihpc.2015.04.003. http://www.numdam.org/articles/10.1016/j.anihpc.2015.04.003/
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