Research papers
41. On coupled systems of nonlinear Schrödinger and Choquard equations with distinct exponents, (With Dohoon Choi, Subong Lim)
Submitted
40. Semiclassical equivalence of two white dwarf models as ground states of the relativistic Hartree-Fock and Vlasov-Poisson energies, (With Younghun Hong, Sangdon Jin)
Submitted, Arxiv
39. Asymptotic behavior of the least energy solutions for the pseudo-relativistic nonlinear elliptic equations involving the $H^{1/2}$ critical exponent, (With Woocheol Choi)
Submitted
38. Solitary waves for Landau-Lifshitz system augmented with the Chern-Simons gauge, (With Hyungjin Huh, Guanghui Jin)
Submitted
37. Non-ergodic linear convergence property of the delayed gradient descent under the strongly convexity and the Polyak-Lojasiewicz condition, (With Woocheol Choi, Hyung Jun Choi)
Analysis and Applications, 22 (2024), no.6, 1023-1051
36. Case Study of Teaching Calculus and Differential Equation with Technological Devices in Gifted Education, (With Jaehyeon Park and Woohyeok Kang)
Journal of Science Education for the Gifted(과학영재교육), 16 (2024), no.1, 37-49
35. The causal effects of high school <Artificial Intelligence Mathematics> teacher training on teacher efficacy, (With Sangju Ryu, Woohyeok Kang and Jaehyeon Park)
School Mathematics(학교수학), 26 (2024), no.1, 57-71
34. Solitary waves for the nonlinear Schrödinger-Poisson system with positron-electron interaction, (With Sangdon Jin),
Calculus of Variations and Partial Differential Equations, 62 (2023), no.2, Paper No. 72, Arxiv
33. On uniformly rotating binary stars and galaxies, (With Juhi Jang),
Archive for Rational Mechanics and Analysis, 244 (2022), 443-499
32. Kinetic description for stable white dwarfs, (With Juhi Jang),
Kinetic and related models, 15 (2022), no. 4, 605-620, Special issue dedicated to the memory of Bob Glassey
31. Existence of solitary waves for non-self-dual Chern-Simons-Higgs equations in $\Bbb{R}^{2+1}$, (With Guanghui Jin),
Journal of Differential Equations 296 (2021), 677-698
30. Nonrelativistic limit of solitary waves for nonlinear Maxwell-Klein-Gordon equations, (With Sangdon Jin),
Calculus of Variations and Partial Differential Equations 60 (2021), no. 5, Paper No. 168, 27 pp, Arxiv
29. Ground states to the generalized nonlinear Schrödinger equations with Bernstein symbols, (With Younghun Hong),
28. Semi-classical limit of quantum free energy minimizers for the gravitational Hartree equations, (With Woocheol Choi, Younghun Hong),
Archive for Rational Mechanics and Analysis, 239 (2021), 783-829, Arxiv
27. Limit behaviors of solutions to the pseudo-relativistic Lane-Enden equation, (With Woocheol Choi),
Journal of Mathematical Analysis and Applications, 495 (2021), no. 1, 124726.
26. Positive vector solutions for nonlinear Schrödinger systems with strong interspecies attractive forces, (With Jaeyoung Byeon, Ohsang Kwon),
Journal de Mathématiques Pures et Appliquées, 143 (2020), 73-115
25. On critical and supercritical pseudo-relativistic nonlinear Schrödinger equations, (With Woocheol Choi, Younghun Hong),
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 150 (2020), no. 3, 1241–1263, Arxiv
24. On minimal mass vortex ansatz solutions to N = 2 supersymmetric Chern-Simons Schrödinger equations, (With Guanghui Jin),
Applied Mathematics letters 102 (2020), 106131
23. Convergence rate of the finite element approximation for extremizers of Sobolev inequalities on 2D convex domains, (With Woocheol Choi, Younghun Hong),
Calcolo 56 (2019), no. 3, Paper No. 27, Arxiv
22. Limit profiles and uniqueness of ground states to the nonlinear Choquard equations,
Advances in Nonlinear Analysis 8 (2019), no. 1, 1083-1098, Arxiv
21. Semilinear elliptic equations with a pseudo-relativistic operator on a bounded domain, (With Woocheol Choi, Younghun Hong),
Nonlinear Analysis 173 (2018), 123-145, Arxiv
20. Uniqueness and symmetry of ground states for higher-order equations, (With Woocheol Choi, Younghun Hong),
Calculus of Variations and Partial Differential Equations 57 (2018), no. 3, Art. 77, 23 pp, Arxiv
19. Optimal convergence rate and regularity of nonrelativistic limit for the nonlinear pseudo-relativistic equations, (With Woocheol Choi, Younghun Hong),
Journal of Functional Analysis 274 (2018), no.3, 695-722, Arxiv
18. Nonlinear Choquard equations: doubly critical case,
Applied Mathematics Letters 76 (2018), 148–156, Arxiv
17. Nonlinear scalar field equations involving the fractional Laplacian, (With Jayoung Byeon, Ohsang Kwon),
Nonlinearity 30 (2017), 1659-1681
16. Multiple interior and boundary peak solutions to singularly perturbed nonlinear Neumann problems under the Berestycki-Lions condition, (With Youngae Lee),
Mathematische Annalen 367 (2017), no. 1-2, 881-928
15. Nonlinear Choquard equations involving a critical local term,
Applied Mathematics Letters 63 (2017), 77-87
14. Results on standing waves for the nonlinear Chern-Simons-Schrödinger equations,
Lecture Notes of Seminario Interdisciplinare di Matematica XIII (2016), 129-143
13. On standing waves with a vortex point of order N for the nonlinear Chern-Simons-Schrödinger equations, (With Jaeyoung Byeon, Hyungjin Huh),
Journal of Differential Equations 261 (2016), no. 2, 1285-1316
12. Nonrelativistic limit of standing waves for pseudo-relativistic nonlinear Schrödinger equations, (With Woocheol Choi),
Journal of Mathematical Physics 57 (2016), no. 2, 021510, 15 pp, Arxiv
11. An integral identity of the N=2 supersymmetric Chern-Simons-Schrödinger equations and its applications, (With Hyungjin Huh),
Topological Methods in Nonlinear Analysis 46 (2015) no. 1, 495-504
10. Infinitely many standing waves for the nonlinear Chern-Simons-Schrödinger equations,
Advances in Mathematical Physics (2015), Art. ID 519374, 7 pp
9. Spike-layer solutions to nonlinear fractional Schrödinger equations with almost optimal nonlinearities,
Electronic Journal of Differential Equations (2015), no. 196, 19 pp
8. Infinitely many solutions for semilinear nonlocal elliptic equations under noncompact settings, (With Woocheol Choi)
Unpublished, Arxiv
7. On perturbation of a functional with the mountain pass geometry, (With Wonjeong Jeong),
Calculus of Variations and Partial Differential Equations 49 (2014), no. 1-2, 649-668
6. Chern-Simons limit of the standing wave solutions for the Schrödinger equations coupled with a neutral scalar field, (With Jongmin Han, Hyungjin Huh),
Journal of Functional Analysis 266 (2014), no. 1, 318-342
5. Equivalence of the Chern-Simons-Schrödinger system and its self-dual equations, (With Hyungjin Huh),
Journal of Mathematical Physics 54 (2013), no. 2, 021502, 5 pp
4. On nonlinear Schrodinger-Poisson equations with general potentials,
Journal of Mathematical Analysis and Applications 401 (2013), no. 2, 672-681
3. Standing waves of nonlinear Schrödinger equations with the gauge field, (With Jaeyoung Byeon, Hyungjin Huh),
Journal of Functional Analysis 263 (2012), no. 6, 1575-1608
2. On nodal solutions of the nonlinear Schrödinger-Poisson equations, (With Seunghyeok Kim),
Communications in Contemporary Mathematics 14 (2012), no. 6, 1250041, 16 pp
1. Single and multi-peak solutions for nonlinear Maxwell-Schrödinger system with a general nonlinearity,
Nonlinear Analysis: Theory, Methods and Applications 74 (2011), no. 12, 4252-4259