What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (54.90%)
- Applied mathematics (35.95%)
- Dirichlet problem (30.72%)
What were the highlights of his more recent work (between 2015-2021)?
- Boundary value problem (30.07%)
- Applied mathematics (35.95%)
- Second derivative (21.57%)
In recent papers he was focusing on the following fields of study:
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.
Between 2015 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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