Current Address

Room 711, AB1

Department of Mathematics & Institute of Mathematical Sciences, Chinese University of Hong Kong

Shatin, Hong Kong, China

email: mingxiangli@cuhk.edu.hk

Researchgate 

https://orcid.org/0000-0002-6565-9864

Employment 

Department of Mathematics, The Chinese University of Hong Kong, China 

 PostDoc,   Sep 2024 - 

Mentor: Juncheng Wei

Eudcation

Nanjing University, China 

 Sep 2019 - Jun 2024

Ph.D. Degree, Advisor: Xingwang Xu

University Paul Sabatier, France

 Oct 2022 - Aug 2023 

Joint Ph.D. Program, Advisor: Yuxin Ge

Nanjing University, China

 Sep 2015 - Jun 2019

Bachelor Degree

Research

Preprints:

1. Kui Li, Mingxiang Li, Juncheng Wei, On a new region for the Lane-Emden conjecture in higher dimensions, arxiv

2. Mingxiang Li, Juncheng Wei, Xingwang Xu, On geometry of $Q^{2k}_g$-curvature, arxiv

3. Mingxiang Li, Biao Ma, Existence of complete conformal metrics on R^n with prescribend Q-curvature, arxiv 

4. Mingxiang Li, The total Q-curvature, volume entropy and polynomial growth polyharmonic functions (II), arxiv

5. Mingxiang Li, Conformal metrics with finite total Q-curvature revisited, arxiv 

6. Mingxiang Li, Juncheng Wei, Higher order Bol's equality and its applications, arxiv 

Publications:

1. Mingxiang Li, Obstructions to prescribed Q-curvature of complete conformal metrics on $R^n$, Rev. Mat. Iberoam. 42 (2026), no. 1, pp. 75–94.

2. Mingxiang Li, Xingwang Xu, On positivity of the Q-curvatures of  conformal metrics, J. Funct. Anal. 289 (2025), no. 8, Paper No. 111011, 23 pp.

3. Mingxiang Li, Asymptotic behavior of conformal metrics with null Q-curvature, J. Geom. Anal. 35 (2025), no. 5, Paper No. 145.

4. Mingxiang Li, Juncheng Wei,  A remark on the Case-Gursky-Vetois identity and its applications, Proc. Amer. Math. Soc. 153 (2025), no. 08, 3417–3430.

5. Yuxin Ge, Mingxiang Li, Zhao Lian, A new invariant on 3-dimensional  manifolds and  applications,   Commun. Contemp. Math. 27 (2025), no. 5, 2450036.

6. Mingxiang Li, The total Q-curvature, volume entropy and polynomial growth polyharmonic functions, Advance in Mathematics.  450 (2024), Paper No. 109768.

7. Mingxiang Li, A Liouville-type theorem in conformally invariant equations, Math. Ann. 389 (2024), no. 3, 2499–2517.

8. Mingxiang Li,  Xingwang Xu, Asymptotic behavior of conformal metrics on torus, Discrete Contin. Dyn. Syst. 44 (2024), no. 5, 1376–1394. 

9. Mingxiang Li, A note on prescribed Q-curvature, Pacific J. Math. 319 (2022), no. 1, 181–188. 

10. Mingxiang Li, Xingwang Xu, A flow approach to mean field equation, Calc. Var. Partial Differential  Equations 61 (2022). 

11.  Xuezhang Chen, Mingxiang Li, Zirui Li, Xingwang Xu, On Gaussian curvature flow, J. Differential Equations 294 (2021).