Email

  • mingxiang.li@polyu.edu.hk

Google Scholar

Orcid

Employment

  • The Hong Kong Polytechnic University, Sep.2 2026-Current, Research Assistant Professor
  • The Chinese University of Hong Kong, Sep.2 2024 -Sep. 1 2026, PostDoc Fellow

Eudcation

  • Nanjing University, Sep 2019 - Jun 2024, Ph.D.
  • University Paul Sabatier, Oct 2022 - Aug 2023, Visitor
  • Nanjing University, Sep 2015 - Jun 2019, Bachelor

Preprints

  1. Guosheng Jiang, Mingxiang Li, Zhehui Wang, A Cheng-Yau type estimate for positive biharmonic functions, arxiv
  2. Liuwei Gong, Mingxiang Li, Juncheng Wei, A counterexample to a strong maximum principle for the sixth-order GJMS operator,arxiv
  3. Xumin Jiang, Mingxiang Li, Zhehui Wang, On the proof of Bray’s conjecture, arxiv
  4. Mingxiang Li, On the positivity of Yamabe invariant and Paneitz operator,arxiv
  5. Xumin Jiang, Mingxiang Li, Zhehui Wang, Bonnet-Myers type theorems for $Q$-curvature on four-manifolds, arxiv
  6. Mingxiang Li, Xingwang Xu, A sharp isoperimetric inequality and the top order $Q$-curvature, arxiv
  7. Kui Li, Mingxiang Li, Juncheng Wei, On a new region for the Lane-Emden conjecture in higher dimensions, arxiv
  8. Mingxiang Li, Juncheng Wei, Xingwang Xu, On geometry of $Q_{2k}^{g}$-curvature, arxiv
  9. Mingxiang Li, Biao Ma, Existence of complete conformal metrics on $\mathbb{R}^n$ with prescribed Q-curvature, arxiv
  10. Mingxiang Li, The total Q-curvature, volume entropy and polynomial growth polyharmonic functions (II), arxiv
  11. Mingxiang Li, Conformal metrics with finite total Q-curvature revisited, arxiv
  12. 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 $\mathbb{R}^n$, Rev. Mat. Iberoam. 42 (2026), no. 1, pp. 75–94.link pdf
  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.link pdf
  3. Mingxiang Li, Asymptotic behavior of conformal metrics with null Q-curvature, J. Geom. Anal. 35 (2025), no. 5, Paper No. 145.link pdf
  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.link pdf
  5. Yuxin Ge, Mingxiang Li, Zhao Lian, A new invariant on 3-dimensional manifolds and applications, Commun. Contemp. Math. 27 (2025), no. 5, 2450036.link pdf
  6. Mingxiang Li, The total Q-curvature, volume entropy and polynomial growth polyharmonic functions, Advance in Mathematics 450 (2024), Paper No. 109768.link pdf
  7. Mingxiang Li, A Liouville-type theorem in conformally invariant equations, Math. Ann. 389 (2024), no. 3, 2499–2517.link pdf
  8. Mingxiang Li, Xingwang Xu, Asymptotic behavior of conformal metrics on torus, Discrete Contin. Dyn. Syst. 44 (2024), no. 5, 1376–1394.link pdf
  9. Mingxiang Li, A note on prescribed Q-curvature, Pacific J. Math. 319 (2022), no. 1, 181–188.link pdf
  10. Mingxiang Li, Xingwang Xu, A flow approach to mean field equation, Calc. Var. Partial Differential Equations 61 (2022).link pdf
  11. Xuezhang Chen, Mingxiang Li, Zirui Li, Xingwang Xu, On Gaussian curvature flow, J. Differential Equations 294 (2021).link pdf

Survey

  1. Mingxiang Li, Xingwang Xu, Starting with the triangle（从三角形说起）, 2022. 数学所讲座.2018[M]. 北京：科学出版社，link.