Harnack inequality for the fractional nonlocal linearized Monge--Ampère equation

Abstract

The fractional nonlocal linearized Monge--Ampère equation is introduced. A Harnack inequality for nonnegative solutions to the Poisson problem on Monge--Ampère sections is proved.

arXiv comment46 pages, 2 figures. To appear in Calculus of Variations and Partial Differential Equations

References in corpus (1)

• Geometric properties of boundary sections of solutions to the Monge--Ampère equation and applications