Neil S. Trudinger

most citedOn Harnack inequalities and singularities of admissible metrics in the Yamabe problem

7 citations · 10 across the 5 of their papers we have counts for

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math.DG2005★ 1 cited

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…

math.DG2005★ 7 cited

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 $(M, g_{0})$ of dimension $n \geq 3$ . For $n /2 < k < n$ , we prove…

math.DG2005★ 2 cited

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…