Neil S. Trudinger

Applied Mathematics · 2000–2015

A researcher in the Science corpus: 20 papers; trusts 24 researchers and is trusted by 60 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 75 citations into it; #60 of 7,620 by trust here, #81 by citations
• Geometry and Topology — 31 citations into it; #208 of 7,422 by trust here, #214 by citations
• Computational Theory and Mathematics — 27 citations into it; #3,694 of 12,182 by trust here, #4,531 by citations
• Mathematical Physics — 9 citations into it; #1,940 of 8,562 by trust here, #3,335 by citations
• Astronomy and Astrophysics — 7 citations into it
• Numerical Analysis — 6 citations into it

Whom Neil S. Trudinger trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Xu-jia Wang
2. Grégoire Loeper
3. Cédric Villani
4. Xinwen Ma
5. Svetlozar T. Rachev
6. Aobing Li
7. M. Gursky
8. D. Labutin
9. Jiakun Liu
10. S. Chang

Who trusts Neil S. Trudinger overall

1. Alessio Figalli
2. Xu-jia Wang
3. Grégoire Loeper
4. Giuseppe Mingione
5. Feida Jiang
6. Robert J. McCann
7. Young-Heon Kim
8. Guido De Philippis
9. Jiakun Liu
10. Tuomo Kuusi

Papers from Neil S. Trudinger's perspective

Ordered by how strongly the researchers Neil S. Trudinger trusts endorse each paper. Same corpus, a different order for every researcher.

1. On some conformally invariant fully nonlinear equations
2. Local estimates for some fully nonlinear elliptic equations
3. On the design of a reflector antenna II
4. On the regularity of solutions of optimal transportation problems
5. Regularity of Potential Functions of the Optimal Transportation Problem
6. An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature
7. On the Monge mass transfer problem
8. Constructing optimal maps for Monge's transport problem as a limit of strictly convex costs
9. Hölder regularity of optimal mappings in optimal transportation
10. The affine Plateau problem

Their papers

• The Yamabe problem for higher order curvatures (2005) — 182 citations
• The Dirichlet Problem for Degenerate Hessian Equations (2005) — 93 citations
• Affine complete locally convex hypersurfaces (2002) — 78 citations
• Oblique boundary value problems for augmented Hessian equations I (2015) — 69 citations
• On the Dirichlet problem for Monge-Ampère type equations (2013) — 59 citations
• On the local theory of prescribed Jacobian equations (2012) — 61 citations
• Interior C 2,α Regularity for Potential Functions in Optimal Transportation (2009) — 83 citations
• On Strict Convexity and Continuous Differentiability of Potential Functions in Optimal Transportation (2009) — 89 citations
• The Monge-Ampµere equation and its geometric applications (2008) — 274 citations
• Recent developments in elliptic partial differential equations of Monge-Ampere type (2006) — 66 citations
• On the second boundary value problem for Monge-Ampère type equations and optimal transportation (2006) — 202 citations
• On Harnack inequalities and singularities of admissible metrics in the Yamabe problem (2005) — 52 citations
• Boundary regularity for the Monge-Ampere and affine maximal surface equations (2005) — 174 citations
• Regularity of Potential Functions of the Optimal Transportation Problem (2005) — 439 citations
• The affine Plateau problem (2004) — 107 citations
• On the weak continuity of elliptic operators and applications to potential theory (2002) — 251 citations
• Hessian Measures III (2002) — 108 citations
• On locally convex hypersurfaces with boundary (2002) — 49 citations
• On the Monge mass transfer problem (2001) — 148 citations
• The Bernstein problem for affine maximal hypersurfaces (2000) — 193 citations