The obstacle problem for a fractional Monge--Ampère equation

Abstract

We study the obstacle problem for a nonlocal, degenerate elliptic Monge--Ampère equation. We show existence and regularity of a unique classical solution to the problem and regularity of the free boundary.

23 pages. To appear in Communications in Partial Differential Equations

References in corpus (1)

• Obstacle problems for integro-differential operators: Regularity of solutions and free boundaries