TY  - JOUR
A1  - Abatangelo, Nicola
A1  - Fall, Mouhamed Moustapha
A1  - Temgoua, Remi Yvant
T1  - A Hopf lemma for the regional fractional Laplacian
T2  - Annali di matematica pura ed applicata
N2  - We provide a Hopf boundary lemma for the regional fractional Laplacian (−Δ)sΩ, with Ω ⊂ RN a bounded open set. More precisely, given u a pointwise or weak super-solution of the equation (−Δ)s u = c(x)u in Ω, we show that the ratio u(x)∕(dist(x, 𝜕Ω))2s−1 is strictly Ω positive as x approaches the boundary 𝜕Ω of Ω. We also prove a strong maximum principle for distributional super-solutions.
KW  - Regional fractional Laplacian
KW  - Hopf boundary lemma
KW  - Pointwise super-solution
KW  - Weak super-solution
KW  - Distributional super-solution
Y1  - 2022
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/69454
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-694543
SN  - 1618-1891
N1  - Early View: Online Version before inclusion in an issue.
N1  - Open access funding provided by Alma Mater Studiorum - Università di Bologna within the CRUI-CARE Agreement.
VL  - 100.2022
IS  - Early View: Online Version before inclusion in an issue
PB  - Springer
CY  - Berlin ; Heidelberg [u.a.]
ER  -