Propagation of minima for nonlocal operators

Isabeau Birindelli, Giulio Galise, Hitoshi Ishii

Published 2022-08-17Version 1

In this paper we state some sharp maximum principle, i.e. we characterize the geometry of the sets of minima for supersolutions of equations involving the $k$-\emph{th fractional truncated Laplacian} or the $k$-\emph{th fractional eigenvalue} which are fully nonlinear integral operators whose nonlocality is somehow $k$-dimensional.