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20222024
most citedBoundary regularity and Hopf lemma for nondegenerate stable operators

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2024★ 2 cited

Boundary regularity and Hopf lemma for nondegenerate stable operators

Florian Grube

We prove sharp boundary H{ö}lder regularity for solutions to equations involving stable integro-differential operators in bounded open sets satisfying the exterior $C^{1,\text{dini…

math.AP2023

The Dirichlet Problem for Lévy-stable operators with -data

Florian Grube, Thorben Hensiek, Waldemar Schefer

We prove Sobolev regularity for distributional solutions to the Dirichlet problem for generators of -stable processes and exterior data, inhomogeneity in weighted -spaces.…

math.AP2022

Maximum principle for stable operators

Florian Grube, Thorben Hensiek

We prove a weak maximum principle for nonlocal symmetric stable operators. This includes the fractional Laplacian. The main focus of this work is the regularity of the considered f…