Recent Papers

1. Recent developments in elliptic partial differential equations, ICM,Madrid, 3 (2006), 291-302.

2. On the second boundary value problem for Monge Ampere type equations and optimal transportation, (revision of preprint, http://arxiv.org/abs/math.AP/0601086 )

3. New maximum principles for linear elliptic equations

4. On strict convexity and continuous differentiability for potentials in optimal transportation

5. Glimpses of nonlinear partial differential equations in the twentieth century: A priori estimates and the Bernstein problem. Challenges for the 21st century (Singapore, 2000), 196--212, World Sci. Publ., River Edge, NJ, 2001.

Recent Conference Talks and Notes

1. Recent developments in elliptic partial differential equations of Monge-Ampere type. International Congress of Mathematicicians, Madrid, August 2006

2. Optimal transportation and nonlinear partial differential equations, 26th Brazilian Mathematical Colloquium, August ,2007

3. Weak solutions of fully nonlinear elliptic equations. Institute of Mathematical Sciences, Singapore May-June, 2004, Lecture 1 of 4 lectures

4. Fully nonlinear elliptic equations in geometry. CBMS Lectures, ÊNotre Dame, June 2003, Lectures 1-3 of 10 lectures. (Topics to come: Boundary value problems for Monge Ampere equations, Bernstein problem for affine maximal surfaces