Special Session 1: Analysis of PDEs and Free Boundary Problems

Maximum principles and related problems for a class of nonlocal extremal operators

Giulio Galise
Sapienza Universita` di Roma
Italy
Co-Author(s):    Isabeau Birindelli, Delia Schiera
Abstract:
This talk is concerned with the validity of the comparison and maximum principles and their relation with principal eigenvalues, for a class of degenerate nonlinear integral operators that are extremal among operators with one-dimensional fractional diffusion.