Zhang, Dekai ( 张德凯 )
| Title： | Associate Professor |
|---|---|
| Department： | Pure Mathematics |
| Office： | Room 228, Math Building |
| Telephone： | 54342646-228 |
| Email： | dkzhang@math.ecnu.edu.cn |
Research Interest
Geometric Analysis, Nonlinear PDE
Resume
Selected Publications
Recent Publications(From MathSciNet)
MR4964825
Reviewed
Fu, Jixiang; Xu, Xin; Zhang, Dekai The parabolic quaternionic Monge-Ampère type equation on hyperKähler manifolds.
Chinese Ann. Math. Ser. B 46 (2025), no. 5, 647–662. (Reviewer: Sławomir Dinew) 53C26 (30G35 32W20 35K 58J35)
Publication Year 2025
Indexed 2025-11-26
Review Published2026-02-06
MR4773183
Reviewed
Fu, Jixiang; Yau, Shing-Tung; Zhang, Dekai A new flow solving the LYZ equation in Kähler geometry.
J. Differential Geom. 128 (2024), no. 1, 153–192. (Reviewer: Mijia Lai) 53E30 (53C55)
Publication Year 2024
Indexed 2024-09-16
Review Published2025-03-11
MR4748490
Reviewed
Fu, Jixiang; Yau, Shing-Tung; Zhang, Dekai Introduction to a deformed Hermitian Yang-Mills flow.
Surveys in differential geometry 2021. Chern: a great geometer of the 20th century,
157–168, Surv. Differ. Geom., 26, Int. Press, Boston, MA, 2024. 53E30
Publication Year 2024
Indexed 2024-08-13
Review Published2024-08-14
MR4745103
Reviewed
Fu, Jixiang; Xu, Xin; Zhang, Dekai The Monge-Ampère equation for $(n-1)$-quaternionic PSH functions on a hyperKähler manifold.
Math. Z. 307 (2024), no. 2, Paper No. 29, 25 pp. (Reviewer: Sławomir Dinew) 53C26 (30G35 32W20)
Publication Year 2024
Indexed 2024-07-19
Review Published2024-11-15
MR4554055
Reviewed
Gao, Zhenghuan; Jia, Xiaohan; Zhang, Dekai Serrin-type overdetermined problems for Hessian quotient equations and Hessian quotient curvature equations.
J. Geom. Anal. 33 (2023), no. 5, Paper No. 150, 22 pp. 35J60 (35N25)
Publication Year 2023
Indexed 2023-04-20
Review Published2023-05-17
MR4531386
Reviewed
Gao, Zhenghuan; Ma, Xinan; Zhang, Dekai The exterior Dirichlet problem for the homogeneous complex $k$-Hessian equation.
Adv. Nonlinear Stud. 23 (2023), no. 1, Paper No. 20220039, 33 pp. 35B65 (35J25)
Publication Year 2023
Indexed 2023-03-06
Review Published2023-05-15
MR4491198
Reviewed
Zhang, Dekai Regularity of degenerate $k$-Hessian equations on closed Hermitian manifolds.
Adv. Nonlinear Stud. 22 (2022), no. 1, 534–547. 35J60 (35J70)
Publication Year 2022
Indexed 2022-12-07
Review Published2023-01-26
MR4422543
Indexed
Chen, Chuanqiang; Xu, Lu; Zhang, Dekai Erratum to: The interior gradient estimate of prescribed Hessian quotient curvature equations.
Manuscripta Math. 168 (2022), no. 1-2, 303–304. 35J60 (35B45 35B65 53C21)
Publication Year 2022
Indexed 2022-07-05
MR4315626
Reviewed
Chen, Chuan Qiang; Ma, Xi Nan; Zhang, De Kai The Neumann problem for parabolic Hessian quotient equations.
Acta Math. Sin. (Engl. Ser.) 37 (2021), no. 9, 1313–1348. (Reviewer: Huiling Li) 35K20 (35B45 35J60)
Publication Year 2021
Indexed 2022-07-13
Review Published2022-08-26
MR4249972
Reviewed
Chen, Chuanqiang; Zhang, Dekai The Neumann problem of Hessian quotient equations.
Bull. Math. Sci. 11 (2021), no. 1, Paper No. 2050018, 26 pp. (Reviewer: Lin Zhao) 35J60 (35B45)
Publication Year 2021
Indexed 2021-07-14
Review Published2022-02-07
MR3703453
Reviewed
Zhang, Dekai Hessian equations on closed Hermitian manifolds.
Pacific J. Math. 291 (2017), no. 2, 485–510. (Reviewer: Jingzhi Tie) 53C55 (32W50 35B45 35J60 35R01)
Publication Year 2017
Indexed 2017-11-27
Review Published2018-07-27
MR3681126
Reviewed
Xu, Jinju; Zhang, Dekai Gradient estimates of mean curvature equation with Neumann boundary condition in domains of Riemannian manifold.
Internat. J. Math. 28 (2017), no. 8, 1750065, 13 pp. (Reviewer: Gabjin Yun) 58J32 (35B45 35B50 35J93 35R01 53C21)
Publication Year 2017
Indexed 2017-10-02
Review Published2018-02-14
MR3635978
Reviewed
Chen, Chuanqiang; Xu, Lu; Zhang, Dekai The interior gradient estimate of prescribed Hessian quotient curvature equations.
Manuscripta Math. 153 (2017), no. 1-2, 159–171. (Reviewer: Jens Habermann) 35J60 (35B45 35B65 53C21)
Publication Year 2017
Indexed 2017-06-14
Review Published2018-03-14
MR3620024
Reviewed
Wang, Peihe; Zhang, Dekai Convexity of level sets of minimal graph on space form with nonnegative curvature.
J. Differential Equations 262 (2017), no. 11, 5534–5564. (Reviewer: Jingang Xiong) 58J05 (35J62 35J93 35R01)
Publication Year 2017
Indexed 2017-05-08
Review Published2017-08-14
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