Cristian E. Gutiérrez Second Edition Page 1 Progress in Nonlinear Differential Equations and
Their Applications 89 Cristian E. Gutiérrez The MongeAmpère Equation Second Edition Page …

The geometry of Hessian structures is a fascinating emerging field of research. It is in
particular a very close relative of Knhlerian geometry, and connected with many important …

A classification of upper semicontinuous and SL (n) invariant valuations on the space of n-
dimensional convex bodies is established. As a consequence, complete characterizations of …

In this paper we present the basic theory of the Monge-Ampere equation together with a
selection of geometric applications, mainly to affine geometry. First we introduce the Monge …

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Mathematical Society American Mathematical Society MathSciNet Bookstore Publications …

In this paper we study the classification of ancient convex solutions to the mean curvature
flow in R n+ 1. An open problem related to the classification of type II singularities is whether …

General affine surface areas Page 1 Advances in Mathematics 224 (2010) 2346–2360 www.elsevier.com/locate/aim
General affine surface areas Monika Ludwig1 Department of Mathematics, Polytechnic …

A classical theorem of Jörgens (n= 2 [17]), Calabi (n≤ 5 [7]), and Pogorelov (n≥ 2 [18])
states that any classical convex solution of (1.1) det (D 2 u)= 1 in Rn must be a quadratic …

Since the time of the Greek mathematicians, geometry has always been in the center of
science. Scientists cannot resist explaining natural phenomena in terms of the language of …

In this paper, we prove global second derivative estimates for solutions of the Dirichlet
problem for the Monge-Ampère equation when the inhomogeneous term is only assumed to …