What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Geometry
- Partial differential equation
Xu-Jia Wang mostly deals with Mathematical analysis, Applied mathematics, Pure mathematics, Hessian equation and Function.
His work carried out in the field of Mathematical analysis brings together such families of science as Chern class and Convex body.
His studies in Applied mathematics integrate themes in fields like Measure, Partial differential equation and Elliptic operator.
His Pure mathematics research is multidisciplinary, incorporating elements of Metric, Convex hull, Convex curve, Convex polytope and Absolutely convex set.
His studies examine the connections between Hessian equation and genetics, as well as such issues in Hessian matrix, with regards to Class, Balanced flow, Dirichlet problem and Second partial derivative test.
Xu-Jia Wang interconnects Second derivative, Type and Uniqueness in the investigation of issues within Function.
His most cited work include:
- Regularity of Potential Functions of the Optimal Transportation Problem (299 citations)
- Kahler-Ricci solitons on toric manifolds with positive first Chern class (244 citations)
- Neumann problems of semilinear elliptic equations involving critical Sobolev exponents (196 citations)
What are the main themes of his work throughout his whole career to date?
His main research concerns Mathematical analysis, Pure mathematics, Regular polygon, Monge–Ampère equation and Applied mathematics.
His Mathematical analysis research incorporates elements of Mean curvature and Curvature.
His study in Pure mathematics is interdisciplinary in nature, drawing from both Convex curve, Yamabe problem, Metric and Constant.
His Monge–Ampère equation research includes themes of Type inequality and Minkowski problem.
Xu-Jia Wang interconnects Function and Quadratic cost in the investigation of issues within Applied mathematics.
His Dirichlet problem research includes elements of Hessian equation and Hessian matrix.
He most often published in these fields:
- Mathematical analysis (62.96%)
- Pure mathematics (34.26%)
- Regular polygon (15.74%)
What were the highlights of his more recent work (between 2017-2021)?
- Mathematical analysis (62.96%)
- Regular polygon (15.74%)
- Monge–Ampère equation (14.81%)
In recent papers he was focusing on the following fields of study:
Xu-Jia Wang focuses on Mathematical analysis, Regular polygon, Monge–Ampère equation, Applied mathematics and Pure mathematics.
He is interested in Unit sphere, which is a field of Mathematical analysis.
His Regular polygon research integrates issues from Four-vertex theorem and Combinatorics.
His research on Monge–Ampère equation also deals with topics like
- Type inequality which intersects with area such as Sobolev space, A priori estimate, Hölder condition and Balanced flow,
- Euclidean space which intersects with area such as Lagrange multiplier, Curvature and Minkowski problem.
The concepts of his Applied mathematics study are interwoven with issues in Elementary proof, Type and Quadratic cost.
His Pure mathematics study combines topics in areas such as Gaussian curvature, Even and odd functions and Minkowski space.
Between 2017 and 2021, his most popular works were:
- Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems (41 citations)
- A priori estimates and existence of solutions to the prescribed centroaffine curvature problem (14 citations)
- Global regularity for the Monge-Ampère equation with natural boundary condition (10 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Geometry
- Partial differential equation
Xu-Jia Wang mainly focuses on Monge–Ampère equation, Boundary value problem, Mathematical analysis, Pure mathematics and Euclidean space.
His biological study spans a wide range of topics, including Constant, Dimension and Regular polygon.
When carried out as part of a general Mathematical analysis research project, his work on Unit sphere is frequently linked to work in A priori and a posteriori, therefore connecting diverse disciplines of study.
The study incorporates disciplines such as Gaussian curvature, Even and odd functions, Minkowski space and Counterexample in addition to Pure mathematics.
His study in Flow extends to Euclidean space with its themes.
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