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math.AP2026
Hölder regularity for nonlocal equations governed by measures and non-standard growth
Luke Schleef
On doubling metric measure spaces, we study nonlocal operators with non-standard -Orlicz growth (), where the interaction kernel is given by a general, non…
math.AP2026
Partial Hölder regularity for fully nonlinear nonlocal parabolic equations with integrable kernels
Minhyun Kim, Luke Schleef, Russell W. Schwab
In this work, we consider solutions to (fully nonlinear) parabolic integro-differential equations with integrable interaction kernels. A typical equation would be that obtained by…