Local behavior of fractional p-minimizers
Annales de l'I.H.P. Analyse non linéaire, Tome 33 (2016) no. 5, pp. 1279-1299.

We extend the De Giorgi–Nash–Moser theory to nonlocal, possibly degenerate integro-differential operators.

DOI : 10.1016/j.anihpc.2015.04.003
Classification : 35D30, 35B45, 35B05, 35R05, 47G20, 60J75
Mots-clés : Quasilinear nonlocal operators, Fractional Sobolev spaces, Hölder regularity, Caccioppoli estimates, Singular perturbations 
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     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},
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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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