Sang-Hyuck Moon (문상혁)

Research area and interests

Nonlinear elliptic PDEs from mathematical physics and geometry, Calculus of variations, Nonlinear analysis

 Education and Employment

• Assistant Professor (2025.03-Present), Pusan National University, Busan, Korea.

• Postdoctoral Fellow (2022.05-2025.02), Ulsan National Institute of Science and Technology (UNIST), Ulsan, Korea.

• Postdoctoral Fellow (2019.08-2022.04), National Center for Theoretical Sciences (NCTS) at National Taiwan university, Taipei, Taiwan.

• Postdoctoral Fellow (2019.03-2019.07), Center for Mathematical Analysis & Computation (CMAC) at Yonsei University, Seoul, Korea.

• Ph.D. in Mathematics (2013.03-2019.02), Korea Advanced Institute of Science and Technology (KAIST), Daejeon, Korea.

• B.Sc. in Mathematics (2010.02-2013.02), Korea Advanced Institute of Science and Technology (KAIST), Daejeon, Korea.

Publications

• J. Bae, S.H. Moon and K. Woo, Emergence of peaked singularities in the Euler-Poisson system, J. Nonlinear Sci. 35 (2025), Paper No. 25.

• J. Byeon, S. H. Moon and T. C. Lin, Nonlinear Schrödinger systems with trapping potentials for mixed attractive and repulsive interactions, Calc. Var. Partial Differential Equations 62 (2023), no. 7, Paper No. 189. 

• S. Kim and S. H. Moon, Asymptotic analysis on positive solutions of the Lane-Emden system with nearly critical exponents, Trans. Amer. Math. Soc. 376 (2023), no. 7, 4835–4899.

• H. Y. Huang, Y. Lee and S. H. Moon, Non-Abelian Chern-Simons-Higgs system with indefinite functional, NoDEA Nonlinear Differential Equations Appl. 30 (2023), no. 3, Paper No. 36, 20 pp.

• C. C. Lee, M. Mizuno and S. H. Moon, On the uniqueness of linear convection-diffusion equations with integral boundary conditions, C. R. Math. Acad. Sci. Paris 361 (2023), 191-206.

• H. Y. Huang, Y. Lee and S. H. Moon, On the topological solutions with vortices and antivortices for the Maxwell-Chern-Simons O(3) Sigma Model on a torus, J. Differential Equations 309 (2022), 1–29.

• H. Y. Huang, Y. Lee and S. H. Moon, Bubbling solutions of mixed type for a general non-Abelian Chern-Simons-Higgs system of rank 2 over a torus,  Nonlinear Anal. 214 (2022), Paper No. 112552, 24 pp.

• J. Byeon, S. H. Moon and Z. Q. Wang, Nonlinear Schrödinger systems with mixed interactions: locally minimal energy vector solution, Nonlinearity 34 (2021), no. 9, 6473–6506. 

• J. Byeon, Y. Lee and S. H. Moon, Partly clustering solutions of nonlinear Schrodinger systems with mixed interactions, J. Funct. Anal. 280 (2021), no. 12, Paper No. 108987, 54 pp. 

• J. Byeon, S. H. Choi, Y. Kim and S. H. Moon, Least energy solution for a scalar field equation with a singular nonlinearity, Proc. Roy. Soc. Edinburgh Sect. A 151 (2021), no. 1, 93-109.

• J. Byeon and S. H. Moon, Spike layer solutions for a singularly perturbed Neumann problem: variational construction without a nondegeneracy, Commun. Pure Appl. Anal. 18 (2019), no. 4, 1921–1965. 

Research Grants

• 2022.05-Present: Sejong Science Fellowship Grants, National Research Foundation of Korea (funded by the Ministry of Science and ICT ).

Honors and Scholarships

• 2014-2018: Global Doctor Fellowship, National Research Foundation of Korea (funded by the Ministry of Education ).

• 2010-2012: Presidential Science Scholarship (funded by Korea Student Aid Foundation).