Denghui Wu

　　 　　

Name: Denghui Wu, associate professor & master’s supervisor

College of Science, Northwest A&F University

Sex: Male

Nationality: Chinese

Address: No. 22 Xinong Road, Yangling, Shaanxi, 712100, P.R. China

E-mail: wudenghui66@163.com

Education Background

Ÿ Sept., 2014-Dec., 2017 Doctor’s degree in School of mathematics and statistics, Southwest University, P.R. China

Ÿ Aug.,2016-Aug., 2017 Joint-PhD, Department of mathematics, University of Missouri, Columbia, USA

Ÿ Sept.,2011-Jun.,2014  M.S. degree College of mathematics and statistics,Northwest Normal University, Lanzhou, P.R. China

Employment

Ÿ Jan., 2022-present  Associate professor, College of Science, Northwest A&F University, Shaanxi, P.R. China

Ÿ Feb., 2018-Dec., 2021 Lecturer, College of Science, Northwest A&F University, Shaanxi, P.R. China

Research Fields

Ÿ Convex Geometry, Integral Geometry, Geometric Gunctional Analysis

Ÿ Applications of Probability and Harmonic Analysis to the above subjects

Ÿ Partial Differential Equations

Courses Offered

Ø For undergraduate students:

Ÿ Functions of Real Variable

Ÿ  Probability Theory and Mathematical Statistics

Ÿ Theory of Probability

Ÿ Advanced Mathematics

Ø For graduate students:

Ÿ Differential Manifolds

Ÿ Integral Geometry

Ÿ Convex Geometric Analysis

Research Projects

Ÿ Jan.,2020-Dec., 2021  Presiding over the project of Measure Estimation of  Polar Body and Affine Isoperimetric Type Inequality supported by Natural Science Basic Research Plan of Shaanxi Province of China (No. 2020JQ-236)

Ÿ Jan.,2021-Dec., 2023  Presiding over the project of Stability and Separation of the Lp-Shephard Problem of Convex Bodies----The Doctor-introduced Program of Shaanxi Province (No. F2020221008)

Ÿ Jan., 2022-Dec., 2022 Presiding over the project of the Solutions to Lp-Minkowski Problems for Log Concave Measures----a Fundamental Research Funds for Mathematics and Physics (No. 145RJZG227)

Ÿ Feb.,2018-Dec., 2020  Presiding over the project of Research on the Isomor-phic Measure Comparison of Busemann-Petty Problems supported by Scientific Research Start-up Funds for Doctors (No. 2452018016)

Ÿ Jan.,2016-Dec., 2016  Presiding over the project of Studies on Busemann-Petty Problems in Complex Hyperbolic Spaces supported by Fundamental Research Funds for the Central Universities (No. XDJK2016D026)

Ÿ Jan., 2016-Dec., 2019 Participating in the project of Isoperimetric problems and Bonnesen Type Strengthen Versions of Alexandrov-Fenchel Inequalities supported by National Natural Science Foundation of China (No. 11671325)

Publications

[1]Denghui Wu, Zhen-Hui Bu^*. The measure-comparison problem for polar(p,mu)-centroid bodies.  Adv. in Appl. Math ., 2022 (137):102332.

[2]Denghui Wu, Zhen-Hui Bu*. A variant of the Lp-Shephard problem via (p,q)-projection bodies[J].  J. Math. Anal. Appl. , 2021 (504):125411.

[3]Tongyi Ma, Denghui Wu*, Yibin Feng. (p, q)-John ellipsoids[J].  J. Geom. Anal. ,2021 (31):9597-9632.

[4]Denghui Wu, Zhen-Hui Bu^*. Multidimensional stability of pyramidal traveling fronts in degenerate Fisher-KPP monostable and combustion equations[J].  Electron. Res. Arch ., 2021, 29(6):3721-3740.

[5]Huhe Han, Denghui Wu^*. Constant diameter and constant width of spherical convex bodies[J].  Aequat. Math ., 2021 (95):167-174.

[6]Denghui Wu. The isomorphic Busemann-Petty problem for s-concave measures[J].  Geom. Dedicata , 2020 (204):131-148.

[7]Tongyi Ma, Denghui Wu. Extremum properties for dual Lp-John ellipsoid[J].  J.Interdiscip. Math. ,2019, 22 (1): 39-52.

[8]Denghui Wu. Firey-Shephard problems for homogeneous measures[J].  J. Math.Anal. Appl. , 2018,458 (1):43-57.

[9]Denghui Wu, Jiazu Zhou. The LYZ centroid conjecture for star bodies[J].  Sci. China Math. , 2018, 61 (7):1273-1286.

[10]Alexander Koldobsky, Denghui Wu. Extensions of reverse volume difference inequalities, In: G. Bianchi, A. Colesanti, P. Gronchi (eds). Analytic aspects of convexity , Springer INdAM Series, 25, 2018, Springer, Cham.

[11]Denghui Wu. A generalization of Lp-Brunn-Minkowski inequalities and Lp-Minkowski problems for measures[J].  Adv. in Appl. Math ., 2017 (89):156-183.

[12]Jia He, Denghui Wu & Jiazu Zhou. Dual Orlicz mixed quermassintegral Hermitian-Grassmannian submanifolds, 125-143,  Springer Proc. Math. Stat. , 203, Springer, Singapore, 2017.

[13]Lili Zhang, Tongyi Ma & Denghui Wu. Some inequalities for generalized intersection bodies[J].  Commun. Appl. Math. Comput ., 2016,30(3):409-420.

[14]Denghui Wu, Zhenhui Bu & Tongyi Ma. Two complex combinations and complex intersection bodies[J].  Taiwanese J. Math.  ,  2014, 18 (5):1459-1480.

[15]Denghui Wu, Tongyi Ma & Lili Zhang.The lambda-intersection bodies and an analytic generalized Busemann-Petty problem,  Math. Inequal. Appl. , 2014,17 (3) :1047-1060.

[16]Tongyi Ma, Lili Zhang & Denghui Wu. The generalized Lp-affine surface areas and Shephard problem (Chinese)[J]  Journal of Northwest Normal University  (Natural Science) , 2014,50 (2): 11-16.

[17]Denghui Wu, Tongyi Ma & Zhenhui Bu. The analog of Lp-Busemann-Petty inequality of Lp-mixed intersection body[J].  J. of Math. , 2013(6: 958-968.