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- Neil S. Trudinger

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
50
Citations
31,137
148
World Ranking
761
National Ranking
21

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

- Mathematical analysis
- Geometry
- Real number

Neil S. Trudinger spends much of his time researching Mathematical analysis, Applied mathematics, Pure mathematics, Partial differential equation and Dirichlet problem. His work in Mathematical analysis addresses subjects such as Type, which are connected to disciplines such as Inequality. His work is dedicated to discovering how Applied mathematics, Harnack's inequality are connected with Elliptic operator and other disciplines.

His Pure mathematics study incorporates themes from Constant, Metric, Topology and Exponential nonlinearity. His work on Elliptic boundary value problem expands to the thematically related Dirichlet problem. His Elliptic boundary value problem research is multidisciplinary, relying on both Dirichlet integral, Schauder estimates and Hilbert space.

- Elliptic Partial Differential Equations of Second Order (16326 citations)
- On Imbeddings into Orlicz Spaces and Some Applications (724 citations)
- Remarks concerning the conformal deformation of riemannian structures on compact manifolds (604 citations)

Mathematical analysis, Applied mathematics, Dirichlet problem, Pure mathematics and Boundary value problem are his primary areas of study. His work on Partial differential equation, Harnack's inequality, Elliptic curve and Elliptic boundary value problem as part of general Mathematical analysis research is frequently linked to Maximum principle, bridging the gap between disciplines. His biological study spans a wide range of topics, including Second derivative, Jacobian matrix and determinant and Hessian equation.

The concepts of his Dirichlet problem study are interwoven with issues in Numerical partial differential equations and Dirichlet boundary condition. The Pure mathematics study combines topics in areas such as Yamabe problem, Order and Metric. His Boundary value problem study combines topics in areas such as Mean curvature and Domain.

- Mathematical analysis (54.90%)
- Applied mathematics (35.95%)
- Dirichlet problem (30.72%)

- Boundary value problem (30.07%)
- Applied mathematics (35.95%)
- Second derivative (21.57%)

Neil S. Trudinger mostly deals with Boundary value problem, Applied mathematics, Second derivative, Hessian equation and Convexity. His Boundary value problem study deals with the bigger picture of Mathematical analysis. His Applied mathematics research includes elements of Dirichlet problem, Elliptic operator, Monotonic function and Schauder estimates.

He interconnects Neumann boundary condition, Type, Euclidean space and Dirichlet boundary condition in the investigation of issues within Dirichlet problem. Within one scientific family, Neil S. Trudinger focuses on topics pertaining to Boundary under Hessian equation, and may sometimes address concerns connected to Curvature and Function. His research in Elliptic boundary value problem intersects with topics in Harnack's inequality, PDE surface and Hilbert space.

- Elliptic Partial Differential Equations of Second Order (16326 citations)
- Oblique boundary value problems for augmented Hessian equations II (27 citations)
- Oblique boundary value problems for augmented Hessian equations I (16 citations)

- Mathematical analysis
- Geometry
- Real number

The scientist’s investigation covers issues in Boundary value problem, Applied mathematics, Convexity, Hessian equation and Matrix function. Neil S. Trudinger works mostly in the field of Boundary value problem, limiting it down to topics relating to Second derivative and, in certain cases, Mixed boundary condition and Elliptic boundary value problem. His Applied mathematics research is multidisciplinary, relying on both Dirichlet problem, Elliptic operator and Schauder estimates.

His Dirichlet problem study incorporates themes from Neumann boundary condition, Type and Order. Neil S. Trudinger integrates many fields, such as Convexity and engineering, in his works. His studies in Hessian equation integrate themes in fields like Function, Boundary, Monotonic function and Hessian matrix.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Elliptic Partial Differential Equations of Second Order

David G Gilbarg;Neil S Trudinger.

**(2013)**

20822 Citations

Elliptic Partial Differential Equations of Second Order

David G Gilbarg;Neil S Trudinger.

**(2013)**

20822 Citations

On Imbeddings into Orlicz Spaces and Some Applications

Neil Trudinger.

Indiana University Mathematics Journal **(1967)**

1503 Citations

On Imbeddings into Orlicz Spaces and Some Applications

Neil Trudinger.

Indiana University Mathematics Journal **(1967)**

1503 Citations

On harnack type inequalities and their application to quasilinear elliptic equations

Neil S. Trudinger.

Communications on Pure and Applied Mathematics **(1967)**

897 Citations

On harnack type inequalities and their application to quasilinear elliptic equations

Neil S. Trudinger.

Communications on Pure and Applied Mathematics **(1967)**

897 Citations

Remarks concerning the conformal deformation of riemannian structures on compact manifolds

Neil S. Trudinger.

Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze **(1968)**

745 Citations

Remarks concerning the conformal deformation of riemannian structures on compact manifolds

Neil S. Trudinger.

Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze **(1968)**

745 Citations

Regularity of Potential Functions of the Optimal Transportation Problem

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

Archive for Rational Mechanics and Analysis **(2005)**

355 Citations

Regularity of Potential Functions of the Optimal Transportation Problem

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

Archive for Rational Mechanics and Analysis **(2005)**

355 Citations

Bulletin of Mathematical Sciences

(Impact Factor: 1.485)

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