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math.AP2021★ 1 cited
Harnack inequality for fractional Laplacian-type operators on hyperbolic spaces
Jongmyeong Kim, Minhyun Kim, Ki-Ahm Lee
We establish the Krylov--Safonov theory for a large class of nonlocal operators of order on hyperbolic spaces with curvature . We prove the…
math.AP2021★ 1 cited
Harnack inequality for Nonlocal operators on Manifolds with nonnegative curvature
Jongmyeong Kim, Minhyun Kim, Ki-Ahm Lee
We establish the Krylov Safonov Harnack inequalities and Holder estimates for fully nonlinear nonlocal operators of non-divergence form on Riemannian manifolds with nonnegative sec…