Associate Professor, Department of Mathematical Sciences, College of Natural Sciences, UNIST(Ulsan National Institute of Science and Technology), Korea
https://math.unist.ac.kr/ (Department of Mathematical Sciences, UNIST)
https://sites.google.com/view/unist-pde/ (UNIST PDE Group)
Email youngaelee@unist.ac.kr , youngaelee0531@gmail.com
Tel. +82-52-217-2682
Education and Position
2023.03.01-present: Associate Professor, Department of Mathematical Sciences, College of Natural Sciences, UNIST(Ulsan National Institute of Science and Technology), Korea
2021.07.01-2023.02.28: Assistant professor, Department of Mathematical Sciences, College of Natural Sciences, UNIST(Ulsan National Institute of Science and Technology), Korea
2018.03.01-2021.06.30: Assistant professor, Department of Mathematics Education, Teachers College, Kyungpook National University, Korea
2019.04.08-2024.12.31: Associate Member, Korea Institute for Advanced Study, Korea
2016.08.01- 2018.02.28: Post-Doctoral Fellow in NIMS(National Institute for Mathematical Sciences), Korea
2012.08.16 - 2016.07.31: Post-Doctoral Fellow in Center for Advanced Study in Theoretical Science, National Taiwan University, Taiwan
2005.03.02 - 2012.08.10: PhD, Mathematics, POSTECH (Pohang Unviersity of Science and Technology), Korea
Thesis advisor: Prof. Jaeyoung Byeon
Thesis Title: On a variational method to bifurcation from infinity for nonlinear elliptic problems)
2001.03.02 - 2005.02.16: BS, Mathematics, POSTECH (Pohang Unviersity of Science and Technology), Korea
Research area and main Interests
PDE, calculus of variations, nonlinear analysis, conformal geometry, mathematical physics
Grants and awards
2022.03.01-2026.02.28: Basic Science Research Program, National Research Foundation
2019.01.01 - 2020.12.31: POSCO TJ Park Science Fellowship, POSCO TJ Park Foundation
2018.06.29: KWMS-NC Cultural Foundation Young Women Mathematician Award (pure math part)
2018.03.01-2022.02.28 : Basic Science Research Program, National Research Foundation
2014.10.25: WISET-KMS Young Women Excellent Research Award
Published papers
38. Jongmin Han, Youngae Lee, Juhee Sohn, (Correction to: Calc. Var. (2021) 60:94), Existence of nontopological solutions of the self-dual Einstein-Maxwell-Higgs equations on compact surfaces, Calc. Var. Partial Differential Equations 62 (2023), no. 4, Paper No. 132.
37. Hsin-Yuan Huang, Youngae Lee, Sang-Hyuck Moon, Non-Abelian Chern-Simons-Higgs system with indefinite functional, NoDEA Nonlinear Differential Equations Appl. 30 (2023), no. 3, Paper No. 36, 20 pp.
36. Lee, Youngae; Lin, Chang-Shou; Yan, Shusen, Degree counting formula for non-symmetric Toda systems of rank two. J. Funct. Anal. 283 (2022), no. 10, Paper No. 109642, 45 pp.
35. Kwon, Ohsang; Lee, Min-Gi; Lee, Youngae, Infinitely many segregated vector solutions of Schrodinger system. J. Math. Anal. Appl. 512 (2022), no. 2, Paper No. 126094, 15 pp.
34. Soojung Kim, Youngae Lee, Finite Morse index solutions of the fractional Henon-Lane-Emden equation with Hardy potential, Taiwanese J. Math. 26 (2022), no. 2, 251–283.
33. Weiwei Ao, Ohsang Kwon, Youngae Lee, Multi-bubbling condensates for the Maxwell-Chern-Simons model, Calc. Var. Partial Differential Equations 61 (2022), no. 1, Paper No. 34, 19 pp.
32. Hsin-Yuan Huang, Youngae Lee, Sang-Hyuck 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.
31. Hsin-Yuan Huang, Youngae Lee, Sang-Hyuck 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.
30. Weiwei Ao, Ohsang Kwon, Youngae Lee, Periodic Maxwell-Chern-Simons vortices with concentrating property, Math. Ann. 381 (2021), no. 3-4, 1885–1942.
29. Youngae Lee, The asymptotic behavior of Chern-Simons Vortices for Gudnason Model, Nonlinear Anal. 213 (2021), Paper No. 112484, 18 pp.
28. Soojung Kim, Youngae Lee, Uniqueness of topological solutions for the Gudnason Model, J. Korean Math. Soc. 58 (2021), no. 4, 873–894
27. Jaeyoung Byeon, Youngae Lee, Sang-Hyuck Moon, Partly clustering solutions of nonlinear Schrodinger systems with mixed interactions, J. Funct. Anal. 280 (2021), no. 12, Paper No. 108987, 54 pp.
26. Ting-Jung Kuo, Youngae Lee, Chang-Shou Lin, Blow up at infinity in the SU(3) Chern-Simons model, part I, Journal of Functional Analysis, Volume 279, Issue 7, 15 October 2020, 108636
25. Daniele Bartolucci, Aleks Jevnikar, Youngae Lee, Wen Yang, Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data, Journal of Differential Equations, Volume 269, Issue 3, 15 July 2020, 2057-2090
24. Youngae Lee, Chang-Shou Lin, Wen Yang, Lei Zhang, Degree counting for Toda system with simple singularity : one point blow up, Journal of Differential Equations, Volume 268, Issue 5, 15 February 2020, 2163-2209.
23. Ohsang Kwon, Youngae Lee, Bifurcation from infinity for a quasilinear equation with general nonlinearity, Kodai Mathematical Journal, Volume 42, Number 3, 31 October 2019, 611-632
22. Youngae Lee, Chang-Shou Lin, Wen Yang, Existence of bubbling solutions without mass concentration, Annales de l'Institut Fourier, 69, no. 2, 2019, 895-940
21. Youngae Lee, Chang-Shou Lin, Uniqueness of bubbling solutions with collapsing singularities, Journal of Functional Analysis, Volume 277, Issue 2, 15 July 2019, 522-557
20. Jaeyoung Byeon, Youngae Lee, Zhi-Qiang Wang, Formation of Radial Patterns via Mixed Attractive and Repulsive Interactions for Schrodinger Systems, SIAM Journal on Mathematical Analysis, Volume 51, No. 2, April 30, 2019, 1514-1542
19. Daniele Bartolucci, Aleks Jevnikar, Youngae Lee, Wen Yang, Local uniqueness of m-bubbling sequences for the Gel'fand equation, Communications in Partial Differential Equations, Volume 44, no. 6, Published online: 07 March 2019, 447-466
18. Daniele Bartolucci, Aleks Jevnikar, Youngae Lee, Wen Yang, Uniqueness of bubbling solutions of mean field equations, Journal de Mathematiques Pures et Appliquees, Volume 123, March 2019, 78-126
17. Daniele Bartolucci, Aleks Jevnikar, Youngae Lee, Wen Yang, Non-degeneracy, Mean Field Equations and the Onsager Theory of 2D Turbulence, Archive for Rational Mechanics and Analysis, Volume 230, Issue 1, October 2018, 397-426
16. Ohsang Kwon, Youngae Lee, Doubly periodic mixed type solution of Non-Abelian Chern-Simons-Higgs vortices with flavor, Asymptotic Analysis, Volume 109, No. 3-4, 14 September 2018, 193-207
15. Youngae Lee, Chang-Shou Lin, Juncheng Wei, Wen Yang, Degree counting and shadow system for Toda system of rank two: one bubbling, Journal of Differential Equations, Volume 264, Issue 7, 5 April 2018, 4343-4401
14. Youngae Lee, Topological solutions in the Maxwell-Chern-Simons model with anomalous magnetic moment, Discrete and Continuous Dynamical Systems. Series A, Volume 38, No. 3, March 2018, 1293-1314
13. Youngae Lee, Bubbling mixed type solutions of the SU(3) models on a torus, Journal of Mathematical Physics, Volume 58, Issue 11, Published online: 22 November 2017, 111508, 16 pp
12. Youngae Lee, Chang-Shou Lin, Gabriella Tarantello, Wen Yang, Sharp estimates for solutions of mean field equation with collapsing singularity, Communications in Partial Differential Equations, Volume 42, No. 10, Published online: 22 September 2017, 1549–1597
11. Kwangseok Choe, Namkwon Kim, Youngae Lee, Chang-Shou Lin, Existence of mixed type solutions in the Chern-Simons gauge theory of rank two in R^2, Journal of Functional Analysis, Volume 273, Issue 5, 1 September 2017, 1734-1761
10. Youngae Lee, Non-topological solutions in a generalized Chern-Simons model on torus, Communications on Pure and Applied Analysis, Volume 16, Issue 4, July 2017, 1315-1330
9. Youngae Lee, Jinmyoung Seok, Multiple interior and boundary peak solutions to singularly perturbed nonlinear Neumann problems under the Berestycki-Lions condition, Mathematische Annalen, Volume 367, Issue 1, February 2017, 881-928
8. Yen-Wen Fan, Youngae Lee, Chang-Shou Lin, Mixed type solutions of the SU(3) models on a torus, Communications in Mathematical Physics, Volume 343, Issue 1, April 2016, 233-271
7. Kwangseok Choe, Jongmin Han, Youngae Lee, Chang-Shou Lin, Bubbling solutions for the Chern-Simons gauged O(3) sigma model on a torus, Calculus of Variations and Partial Differential Equations, Volume 54, Issue 2, October 2015, 1275-1329
6. Daniele Bartolucci, Youngae Lee, Chang-Shou Lin, Michiaki Onodera, Asymptotic analysis of solutions to a gauged O(3) sigma model, Annales de l'Institut Henri Poincare. Analyse Non Lineaire, Volume 32, Issue 3, May-June 2015, 651-685
5. Hsin-Yuan Huang, Youngae Lee, Chang-Shou Lin, Uniqueness of topological multi-vortex solutions for a skew-symmetric Chern-Simons system, Journal of Mathematical Physics, Volume 56, Issue 4, Published online: 1 April 2015, 041501, 12 pp
4. Wonjeong Jeong, Youngae Lee, Stable solutions and finite Morse index solutions of nonlinear elliptic equations with Hardy potential, Nonlinear Anal. Volume 87, August 2013, 126-145
3. Seunghyeok Kim, Ohsang Kwon, Youngae Lee, Solutions with a prescribed number of zeros for nonlinear Schrodinger systems, Nonlinear Anal., Volume 86, July 2013, 74-88
2. Jaeyoung Byeon, Youngae Lee, Variational approach to bifurcation from infinity for nonlinear elliptic problems, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, Volume 143, Issue 02, 5 April 2013, 269-301
1. Jaeyoung Byeon, Youngae Lee, Singularly perturbed nonlinear Neumann problems under the conditions of Berestycki and Lions, Journal of Differential Equations, Volume 252, Issue 6, 15 March 2012, 3848-3872