publications

Published papers and preprints

geometric analysis
analysis & PDE
networks & applied

2026

  1. Preprint
    Liouville-type theorems for Lane–Emden inequalities involving nonlocal operators
    Takwon Kim and Taehun Lee
    Preprint, 2026
    arXiv
  2. Preprint
    Nodal set comparison for Allen–Cahn solutions with conical asymptotics
    Sanghoon Lee and Taehun Lee
    Preprint, 2026
    arXiv

2025

  1. Adv. Nonlinear Anal.
    α-mean curvature flow of non-compact complete convex hypersurface
    Hyunsuk Kang, Ki-Ahm Lee, and Taehun Lee
    Advances in Nonlinear Analysis, 2025
    HTML
  2. Trans. AMS
    Ancient mean curvature flows with finite total curvature
    Kyeongsu Choi, Jiuzhou Huang, and Taehun Lee
    Transactions of the American Mathematical Society, 2025
    arXiv HTML
  3. Submitted
    Fractional degree centrality for directed networks
    Kang-Ju Lee, Ki-Ahm Lee, Woong Kook, and Taehun Lee
    Preprint, 2025

2024

  1. Adv. Math.
    Curvature bound for L_p Minkowski problem
    Kyeongsu Choi, Minhyun Kim, and Taehun Lee
    Advances in Mathematics, 2024
    arXiv HTML
  2. Proc. AMS
    Diameter estimate for planar L_p dual Minkowski problem
    Minhyun Kim and Taehun Lee
    Proceedings of the American Mathematical Society, 2024
    arXiv HTML

2023

  1. Math. Ann.
    Gauss curvature flow with shrinking obstacle
    Ki-Ahm Lee and Taehun Lee
    Mathematische Annalen, 2023
    arXiv HTML
  2. IMRN
    An eigenvalue problem for prescribed curvature equations
    Taehun Lee
    International Mathematics Research Notices, 2023
    arXiv HTML
  3. Preprint
    On the uniqueness of energy-minimizing curves in constrained spaces
    Ki-Ahm Lee and Taehun Lee
    Preprint, 2023
    arXiv

2022

  1. Phys. Rev. E
    Fractional centralities on networks: consolidating the local and the global
    Kang-Ju Lee, Ki-Ahm Lee, Woong Kook, and Taehun Lee
    Physical Review E, 2022
    HTML
  2. JDE
    The obstacle problem for parabolic Monge-Ampère equation
    Ki-Ahm Lee, Jinwan Park, and Taehun Lee
    Journal of Differential Equations, 2022
    HTML

2021

  1. Nonlinear Anal.
    The obstacle problem for the Monge-Ampère equation with the lower obstacle
    Ki-Ahm Lee, Jinwan Park, and Taehun Lee
    Nonlinear Analysis, 2021
    HTML
  2. JDE
    Optimal configuration and symmetry breaking phenomena in the composite membrane problem with fractional Laplacian
    Maria del Mar Gonzalez, Ki-Ahm Lee, and Taehun Lee
    Journal of Differential Equations, 2021
    arXiv HTML
  3. Calc. Var. PDE
    Gauss curvature flow with an obstacle
    Ki-Ahm Lee and Taehun Lee
    Calculus of Variations and Partial Differential Equations, 2021
    HTML
  4. Preprint
    The discrete logarithmic Minkowski problem for the electrostatic 𝔭-capacity
    Minhyun Kim and Taehun Lee
    Preprint, 2021
    arXiv