Khanh Nguyen

Name in Vietnamese: Nguyễn Ngọc Khanh

Email: nnkmath@gmail.com

Education & Employment 

• Chinese Academy of Sciences, Beijing, China
  Postdoc (2023-2026, mentor: Prof. Panu Lahti)

• Vietnam National University, Hanoi, Vietnam
  Lecturer (2022-2023), TA (2015-2017)
  Bachelor & Master (2011-2017, supervisor: Prof. Nguyễn Thạc Dũng)

• University of  Jyväskylä, Jyväskylä, Finland
  Postdoc (2021-2022, mentored and supported by Prof. Pekka Koskela)
  PhD (2017-2021, supervisor: Prof. Pekka Koskela)

Research interests

Analysis on metric spaces
Sobolev functions
Functions of bounded variation
Variational minimizers

Papers

• B. Esmayli, P. Koskela, K. Nguyen, Exceptional sets for quasiconformal mappings in general metric spaces II, arXiv:2603.29769, 41 pp.

• P. Lahti, Y. Li and K. Nguyen, Weak Harnack inequality and Cartan property for nonlocal $W^{s,1}$-minimizers, arXiv:2603.21121, 42 pp.
  
  
  

• J. Kline, P. Koskela and K. Nguyen, Large-scale behaviour of Sobolev functions in Ahlfors regular metric measure spaces, J. Geom. Anal. 35 (2025), no. 7, Paper No. 214, 49 pp.

• P. Lahti and K. Nguyen, Lusin approximation for functions of bounded variation, Calc. Var. Partial Differential Equations  64 (2025), no.5, Paper No. 157, 24 pp.

• P. Lahti and K. Nguyen, Existence and uniqueness of limits at infinity for bounded variation functions, J. Geom. Anal. 34 (2024), no.11, Paper No. 344, 38 pp.

• P. Koskela and K. Nguyen, Existence and uniqueness of limits at infinity for homogeneous Sobolev functions, J. Funct. Anal. 285 (2023), no.11, Paper No. 110154, 22 pp.

• S. Eriksson-Bique, P. Koskela and K. Nguyen, On limits at infinity of weighted Sobolev functions, J. Funct. Anal. 283 (2022), no.10, Paper No. 109672, 40 pp.

• P. Koskela, K. Nguyen and Z. Wang, Trace and density results on regular trees, Potential Anal. 7 (2022), no.1, 101--128.

• N.T. Dung and K. Nguyen, Gradient estimates for a class of semilinear parabolic equations and their applications, Vietnam J. Math. 50 (2022), no.1, 249--259.

• K. Nguyen, Classification criteria for regular trees, Ann. Fenn. Math. 47 (2022), no.1, 3--21.

• P. Koskela, K. Nguyen and Z. Wang, Trace operators on regular trees, Anal. Geom. Metr. Spaces  8 (2020), no.1, 396--409.

• K. Nguyen and Z. Wang, Admissibility versus $\rm A_p$-conditions on regular trees, Anal. Geom. Metr. Spaces 8 (2020), no.1, 92--105.

• N.T. Dung, K. Nguyen and T.C. Son, The number of cusps of complete Riemannian manifolds with finite volume, Taiwanese J. Math. 22 (2018), no.6, 1403--1425.

• N.T. Dung, K. Nguyen and Q.A. Ngô, Gradient estimates for some $f$-heat equations driven by Lichnerowicz's equation on complete smooth metric measure spaces, Manuscripta Math. 155 (2018), no.3-4, 471--501.
  
  

• N.V. Thu and K. Nguyen, A note on uniqueness boundary of holomorphic mappings, Complex Var. Elliptic Equ.  62 (2017), no.4, 481--493.

• K. Nguyen, Gradient estimates of Li Yau type for a general heat equation on Riemannian manifolds, Arch. Math. (Brno)  52 (2016), no.4, 207--219.

• N.T. Dung and K. Nguyen, Gradient estimates of Hamilton-Souplet-Zhang type for a general heat equation on Riemannian manifolds, Arch. Math. (Basel) 105 (2015), no.5, 479--490.