TY - JOUR
T1 - Hölder continuity up to the boundary for a class of fractional obstacle problems
AU - Korvenpää, Janne
AU - Kuusi, Tuomo
AU - Palatucci, Giampiero
PY - 2016
Y1 - 2016
N2 - We deal with the obstacle problem for a class of nonlinear integro-differential operators, whose model is the fractional p-Laplacian with measurable coefficients. In accordance with well-known results for the analog for the pure fractional Laplacian operator, the corresponding solutions inherit regularity properties from the obstacle, both in the case of boundedness, continuity, and Holder continuity, up to the boundary.
AB - We deal with the obstacle problem for a class of nonlinear integro-differential operators, whose model is the fractional p-Laplacian with measurable coefficients. In accordance with well-known results for the analog for the pure fractional Laplacian operator, the corresponding solutions inherit regularity properties from the obstacle, both in the case of boundedness, continuity, and Holder continuity, up to the boundary.
KW - Quasilinear nonlocal operators
KW - fractional Sobolev spaces
KW - nonlocal tail
KW - Caccioppoli estimates
KW - obstacle problem
KW - REGULARITY
KW - LAPLACIAN
U2 - 10.4171/RLM/739
DO - 10.4171/RLM/739
M3 - Article
VL - 27
SP - 355
EP - 367
JO - RENDICONTI LINCEI: MATEMATICA E APPLICAZIONI
JF - RENDICONTI LINCEI: MATEMATICA E APPLICAZIONI
SN - 1120-6330
IS - 3
ER -