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Mathematics

D-Index
52
Citations
36478
World Ranking
929
National Ranking
26

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2008 - Steele Prize for Mathematical Exposition
  • 1997 - Fellow of the Royal Society, United Kingdom
  • 1978 - Fellow of the Australian Academy of Science

Overview

Neil S. Trudinger is affiliated with the Australian National University in Australia. Their primary field of study is Mathematics, with a focus on Applied Mathematics, Geometry and Topology, Computational Theory and Mathematics, Mathematical Physics, and Numerical Analysis.

Their research covers a range of topics including:

  • Geometric Analysis and Curvature Flows
  • Nonlinear Partial Differential Equations
  • Geometry and complex manifolds
  • Point processes and geometric inequalities
  • Advanced Differential Equations and Dynamical Systems
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods in inverse problems

Neil S. Trudinger's frequent coauthors include:

  • Grégoire Loeper
  • Feida Jiang

They have published extensively in several venues, including:

  • arXiv (Cornell University)
  • Advanced Nonlinear Studies
  • Journal of Differential Equations
  • Methods and Applications of Analysis
  • Indiana University Mathematics Journal

Recent papers authored by Neil S. Trudinger include:

  • Remarks on the Pucci conjecture, 2020, Indiana University Mathematics Journal
  • On the local theory of prescribed Jacobian equations revisited, 2021, Mathematics in Engineering

Other notable papers related to their research domain, often with coauthors, are:

  • On the Dirichlet problem for general augmented Hessian equations, 2020, Journal of Differential Equations
  • Weak formulation of the MTW condition and convexity properties of potentials, 2020, arXiv (Cornell University)
  • Weak formulation of the MTW condition and convexity properties of potentials, 2021, Methods and Applications of Analysis

Throughout their career, Neil S. Trudinger has been recognized with the following awards:

  • Fellow of the Australian Academy of Science, 1978
  • Fellow of the Royal Society, United Kingdom, 1997
  • Steele Prize for Mathematical Exposition, 2008
  • Fellow of the American Mathematical Society, 2013

Best Publications

  • Elliptic Partial Differential Equations of Second Order

    David G Gilbarg;Neil S Trudinger

  • On Imbeddings into Orlicz Spaces and Some Applications

    Neil Trudinger

  • On harnack type inequalities and their application to quasilinear elliptic equations

    Neil S. Trudinger

  • Remarks concerning the conformal deformation of riemannian structures on compact manifolds

    Neil S. Trudinger

  • Regularity of Potential Functions of the Optimal Transportation Problem

    Xi-Nan Ma;Neil S. Trudinger;Xu-Jia Wang

  • Orlicz-Sobolev spaces and imbedding theorems

    Thomas K Donaldson;Neil S Trudinger

  • On the Dirichlet problem for Hessian equations

    Neil S. Trudinger

  • Linear elliptic operators with measurable coefficients

    Neil S. Trudinger

  • Pointwise estimates and quasilinear parabolic equations

    Neil S. Trudinger

  • Hessian measures II

    Neil S. Trudinger;Xu-Jia Wang

  • On the weak continuity of Elliptic Operators and applications to Potential Theory

    Neil S. Trudinger;Xu-Jia Wang

  • The Dirichlet problem for the prescribed curvature equations

    Neil S. Trudinger;Neil S. Trudinger

  • Nonlinear oblique boundary value problems for nonlinear elliptic equations

    Gary M. Lieberman;Neil S. Trudinger

  • Hessian measures I

    Neil S. Trudinger;Xu-Jia Wang

  • On the second boundary value problem for Monge-Ampère type equations and optimal transportation

    Neil S. Trudinger;Xu-Jia Wang

  • The Bernstein problem for affine maximal hypersurfaces

    Neil S. Trudinger;Xu-Jia Wang

  • On some inequalities for elementary symmetric functions

    Mi Lin;Neil S. Trudinger

  • Fully nonlinear, uniformly elliptic equations under natural structure conditions

    Neil S. Trudinger

  • Harnack inequalities for quasi-minima of variational integrals

    E. Di Benedetto;Neil S. Trudinger

  • On the Monge mass transfer problem

    Neil S. Trudinger;Xu-Jia Wang

  • Boundary regularity for the Monge-Ampere and affine maximal surface equations

    Neil S. Trudinger;Xu-Jia Wang

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