Sangdon Jin


Assistant Professor

Department of Mathematics Education, Chungbuk National University

 Contact Information

Address: Department of Mathematics Education, Chungbuk National University, 1 Chungdaero Seowon-Gu, Cheongju 28644, Republic of Korea

Email: sangdonjin@cbnu.ac.kr

My research interests are PDE, calculus of variations and nonlinear analysis. Recently, I developed a gluing method for the rigidity and non-rigidity of the scalar curvature in the conformal class. Also, I studied new Hardy type inequalities and nonlinear partial differential equations arising mathematical physics, such as Schrodinger-Poisson equations, Maxwell-Klein-Gordon equations, etc.


Employment

2023.03~                        Assistant Professor,  Department of Mathematics Education, Chungbuk National University,  Cheongju, Republic of Korea


2021.03 ~ 2023.02   Post-doctoral researcher, Chung-Ang University, Seoul, Republic of Korea


2020.03 ~ 2021.02   Post-doctoral researcher, KAIST Stochastic Analysis and Application Research Center, Daejeon, Republic of Korea

Education

2020 Ph.D. in Mathematics, KAIST, Daejeon, Republic of Korea

Thesis: Variational methods for singularly perturbed problems (Advisor:  Jaeyoung Byeon)


2015 M.S. in Mathematics, KAIST, Daejeon, Republic of Korea 

Thesis: A perturbation method for semilinear elliptic equations with the fractional Laplacian (Advisor: Jaeyoung Byeon)


2013 B.S. in Mathematics, Chungnam National University, Daejeon, Republic of Korea

Preprints


1. On steady states for the Vlasov-Schrödinger-Poisson system (with Y. Hong), arXiv:2210.08686.



2.   Weighted isoperimetric ratios and extension problems for conformal fractional Laplacians (with S. Kim), arXiv:2310.9160.




3.  Semiclassical equivalence of two white dwarf models as ground states of the relativistic Hartree-Fock and Vlasov-Poisson energies (with Y. Hong, J. Seok), arXiv:2401.12493




 Publications


13.  Uniqueness and orbital stability of standing waves for the nonlinear Schrödinger equation with a partial confinement  SIAM J. Math. Anal. (2024) (with Y. Hong).


12.  Uniqueness of a minimizer for the variational problem related to the dispersion managed nonlinear Schrödinger equation, SIAM J. Math. Anal. (2023). (with M. Choi and Y. Lee). 


11. Coron's problem for the critical Lane-Emden system, J. Funct. Anal. (2023). (with S. Kim).


10.  On the nonlinear Schrödinger equation with a toroidal trap in the strong confinement regime,  Nonlinearity 36 (2023), no. 5, 2741–2791. (with Y. Hong). 


9.  Solitary waves for the nonlinear Schrödinger-Poisson system with positron-electron interaction,  Calc. Var. Partial Differential Equations 62 (2023), no. 2, Paper No. 72 (with J. Seok).


8.  Standing wave solutions to the nonrelativistic Maxwell-Chern-Simons-Higgs model,   Calc. Var. Partial Differential Equations 62 (2023), no. 2, Paper No. 57 (with H. Huh and J. Han).


7. Orbital stability for the mass-critical and supercritical pseudo-relativistic nonlinear Schrödinger equation, Discrete Contin. Dyn. Syst. 42 (2022)  (with Y. Hong).


6.  A Legendre-Hardy inequality on bounded domains,  Trans. Amer. Math. Soc. Ser. B 9 (2022), 208–257. (with J. Byeon).


5.  Multi-bump solutions for nonlinear elliptic equations involving critical Sobolev exponents, Nonlinear Anal. 220 (2022), Paper No. 112829.


4. Non-relativistic limit of solitary waves for nonlinear Maxwell-Klein-Gordon equations, Calc. Var. Partial Differential Equations 60 (2021), no. 5, Paper No. 168. (with J. Seok).


3.  Rigidity and non-rigidity results on Riemannian manifolds with nonnegative scalar curvature,  J. Geom. Anal. 31 (2021), no. 10, 9745–9767. (with J. Byeon).


2.  Multi-Bump Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity: The Topological Effect of Potential Wells, Adv. Nonlinear Stud. 21 (2021),   no. 2, 369–396.


1.  The Henon equation with a critical exponent under the Neumann boundary condition,  Discrete Contin. Dyn. Syst. 38 (2018), no. 9, 4353–4390. (with J. Byeon).