Special Session 71: At the Edge of Ellipticity

Propagation of minima for nonlocal operators

Giulio Galise
Sapienza Universita` di Roma
Italy
Co-Author(s):    Isabeau Birindelli, Hitoshi Ishii
Abstract:
I will present recent results concerning the geometry of the sets of minima for supersolutions of equations involving the k-th fractional truncated Laplacian and the k-th fractional eigenvalue which are fully nonlinear integral operators whose nonlocality is somehow k-dimensional. This is joint work with Isabeau Birindelli (Sapienza University, Italy) and Hitoshi Ishii (Tsuda University, Japan).