8 citations · 18 across the 5 of their papers we have counts for
6 papers
Boundary regularity for the Monge-Ampere and affine maximal surface equations
Neil S. Trudinger, Xu-Jia Wang
In this paper, we prove global second derivative estimates for solutions of the Dirichlet problem for the Monge-Ampere equation when the inhomogeneous term is only assumed to be Ho…
On Harnack inequalities and singularities of admissible metrics in the Yamabe problem
Neil S. Trudinger, Xu-Jia Wang
In this paper we study the local behaviour of admissible metrics in the k-Yamabe problem on compact Riemannian manifolds of dimension . For , we prove…
The Yamabe problem for higher order curvatures
Weimin Sheng, Neil S Trudinger, Xu-jia Wang
Let M be a compact Riemannian manifold of dimension n. The k-curvature, for k=1,2,..n, is defined as the k-th elementary symmetric polynomial of the eigenvalues of the Schouten ten…
The affine Plateau problem
Neil S. Trudinger, Xu-Jia Wang
In this paper, we study a second order variational problem for locally convex hypersurfaces, which is the affine invariant analogue of the classical Plateau problem for minimal sur…
Affine maximal hypersurfaces
Xu-Jia Wang
This is a brief survey of recent works by Neil Trudinger and myself on the Bernstein problem and Plateau problem for affine maximal hypersurfaces.
Hessian measures II
Neil S. Trudinger, Xu-Jia Wang
In our previous paper on this topic, we introduced the notion of k-Hessian measure associated with a continuous k-convex function in a domain \Om in Euclidean n-space, k=1,...,n, a…