Jiakun Liu

Jiakun Liu

University of Wollongong

H-index: 13

Oceania-Australia

About Jiakun Liu

Jiakun Liu, With an exceptional h-index of 13 and a recent h-index of 11 (since 2020), a distinguished researcher at University of Wollongong, specializes in the field of Mathematics, Partial Differential Equations, Optimal Transportation.

His recent articles reflect a diverse array of research interests and contributions to the field:

C 2, α C^2,α regularity of free boundaries in optimal transportation

Optimal (partial) transport between non-convex polygonal domains

Regularity of optimal mapping between hypercubes

Global regularity in the Monge-Amp\ere obstacle problem

Street view environments are associated with the walking duration of pedestrians: The case of Amsterdam, the Netherlands

Preface to the Special Issue: Nonlinear PDEs and geometric analysis–Dedicated to Neil Trudinger on the occasion of his 80th birthday

Regularity of singular set in optimal transportation

The singularity set of optimal transportation maps

Jiakun Liu Information

University

Position

___

Citations(all)

743

Citations(since 2020)

487

Cited By

448

hIndex(all)

13

hIndex(since 2020)

11

i10Index(all)

20

i10Index(since 2020)

14

Email

University Profile Page

Google Scholar

Jiakun Liu Skills & Research Interests

Mathematics

Partial Differential Equations

Optimal Transportation

Top articles of Jiakun Liu

C 2, α C^2,α regularity of free boundaries in optimal transportation

Communications on Pure and Applied Mathematics

2024/1

Jiakun Liu
Jiakun Liu

H-Index: 9

Optimal (partial) transport between non-convex polygonal domains

arXiv preprint arXiv:2311.15655

2023/11/27

Yuanyuan Li
Yuanyuan Li

H-Index: 1

Jiakun Liu
Jiakun Liu

H-Index: 9

Regularity of optimal mapping between hypercubes

Advanced Nonlinear Studies

2023/9/19

Jiakun Liu
Jiakun Liu

H-Index: 9

Xu-Jia Wang
Xu-Jia Wang

H-Index: 30

Global regularity in the Monge-Amp\ere obstacle problem

arXiv preprint arXiv:2307.00262

2023/7/1

Jiakun Liu
Jiakun Liu

H-Index: 9

Street view environments are associated with the walking duration of pedestrians: The case of Amsterdam, the Netherlands

Landscape and Urban Planning

2023

Preface to the Special Issue: Nonlinear PDEs and geometric analysis–Dedicated to Neil Trudinger on the occasion of his 80th birthday

Mathematics in Engineering

2023

Julie Clutterbuck
Julie Clutterbuck

H-Index: 6

Jiakun Liu
Jiakun Liu

H-Index: 9

Regularity of singular set in optimal transportation

arXiv preprint arXiv:2210.13841

2022/10/25

Jiakun Liu
Jiakun Liu

H-Index: 9

The singularity set of optimal transportation maps

Computational Mathematics and Mathematical Physics

2022/8

Nonuniqueness of Solutions to the Lp Dual Minkowski Problem

International Mathematics Research Notices

2022/6

Global regularity for the Monge-Ampere equation with natural boundary condition

Annals of Mathematics

2021/11/1

Jiakun Liu
Jiakun Liu

H-Index: 9

Xu-Jia Wang
Xu-Jia Wang

H-Index: 30

Light Refraction is Nonlinear Optimisation

J. Math. Study

2021/6

Jiakun Liu
Jiakun Liu

H-Index: 9

Xu-Jia Wang
Xu-Jia Wang

H-Index: 30

Optimal transport with discrete long-range mean-field interactions

Bulletin of Mathematical Sciences

2020/8/12

Jiakun Liu
Jiakun Liu

H-Index: 9

Interior estimate for Monge-Amp\`ere equation in dimension two

arXiv preprint arXiv:2007.11297

2020/7/22

Jiakun Liu
Jiakun Liu

H-Index: 9

The Lp-Brunn-Minkowski inequality for p< 1

Advances in Mathematics

2020/7/15

Quantitative study on the cooling effect of green roofs in a high-density urban Area—A case study of Xiamen, China

Journal of cleaner production

2020/5/10

Stochastic Hölder continuity of random fields governed by a system of stochastic PDEs

2020/5/1

Using the Eco-Erosion Index to assess regional ecological stress due to urbanization–A case study in the Yangtze River Delta urban agglomeration

Ecological Indicators

2020/4/1

See List of Professors in Jiakun Liu University(University of Wollongong)

Co-Authors

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