We report on recent progress on some nonlocal Monge--Ampere equations. Our results include the interior Harnack inequality for the fractional linearized Monge--Ampere equation (with Diego Maldonado from Kansas State University) and the regularity for the obstacle problem for the Caffarelli--Charro fractional Monge-Ampere equation (with Yash Jhaveri from Institute of Advanced Study).
Monday, February 18, 2019 - 15:00