Mathematics Faculty Research

Title

Interior Second Derivative Estimates for Solutions to the Linearized Monge-AmpèRe Equation

Document Type

Article

Publication Date

Spring 3-13-2015

Abstract

Let be a bounded convex domain and be a convex function such that is sufficiently smooth on and the Monge-Ampère measure is bounded away from zero and infinity in . The corresponding linearized Monge-Ampère equation is . . .

Publication Title

Transactions of the American Mathematical Society

Volume

367

First Page

4537

Last Page

4568