David Hartenstine's Publications (and works in progress)

Regularity of weak solutions to the Monge-Ampere equation (with Cristian E. Gutierrez), Transactions of the AMS, 355 (2003), no. 6, 2477-2500.

An Aleksandrov-type estimate for a parabolic Monge-Ampere equation, submitted to Proceedings of the AMS, 2003.

The Dirichlet problem for the Monge-Ampere equation in domains that are not strictly convex, in preparation.

Viscosity subsolutions, the subfunctions of Beckenbach and Jackson, and applications to nonlinear elliptic equations (with Klaus Schmitt), in preparation.

Math Circle, an outreach program at the University of Utah (with Renzo Cavalieri), in preparation.