Awards and Honors

• 2021 : Member of the Korean Academy of Science and Technology
• 2018 : International Exchanges Award by The Royal Society
• KAIST Top Ten Research Achievements in 2017 (KAIST)
• Scientist of the month, July 2016(Ministry of Science, ICT and Future Planning)
• KAIST Top Ten Research Achievements in 2014 (KAIST)
• KAIST Chair Professor, 2014.03—2017.02 (KAIST)
• Kwun Kyungwhan Chair Professor, 2007.08—20010.07(POSTECH)
• The 10th anniversary best alumni of KIAS, 2006 (KIAS)
• The 8-th Young Scientist Award, 2004 (President of Republic of Korea)
• JSPS fellowship through School of Mathematical Sciences, University of Tokyo (1993.10-1996.09)

Graduate Students
    Yeonho Kim,  Juneyoung Seo,  Eunchan Chon,  Woojin Ko.
 

Alumni(PhD)

• Junsang Park(2007, POSTECH) now in a company
• Ohsang Kwon(2010, POSETECH) now in Chungbuk National University
• Jinmyeong Seok(2012.02, POSTECH) now in Kyunggi University
• Youngae Lee(2012.08, POSTECH) now in Kyungbuk National University
• Seunghyeok Kim(2013.02, POSTECH) now in Hanyang University
• Wonjeong Jeong(2013.08, POSTECH) now in a company
• Sang-hyuck Moon(2019.02, KAIST) now in NCTS, Taiwan
• Sangdon Jin(2020.02, KAIST) now in SAARC, KAIST

Preprints

1. ...

Journal articles

1. Positive vector solutions for nonlinear Schrödinger systems with strong interspecies attractive forces, J. Math. Pures Appl. (9) 143 (2020), 73–115 (with Kwon, Ohsang and Seok, Jinmyoung). MR4163124
2. Least energy solution for a scalar field equation with a singular nonlinearity, Proc. Roy. Soc. Edinburgh Sect. A (2020), Advance online publication (with Choi, Sun-Ho and Kim, Yeonho and Moon, Sang-hyuck). doi:10.1017/prm.2020.4
3. Hardy's inequality in a limiting case on general bounded domains, Commun. Contemp. Math. 21 (2019), no. 8, 1850070, 24 pp (with Takahashi, Futoshi). MR4020754
4. Formation of radial patterns via mixed attractive and repulsive interactions for Schrödinger systems, SIAM J. Math. Anal. 51 (2019), no. 2, 1514–1542. (with Lee, Youngae and Wang, Zhi-Qiang). MR3945240
5. Spike layer solutions for a singularly perturbed Neumann problem: variational construction without a nondegeneracy, Commun. Pure Appl. Anal. 18 (2019), no. 4, 1921–1965. (with Moon, Sang-hyuck). MR3927426
6. The Hénon equation with a critical exponent under the Neumann boundary condition, Discrete Contin. Dyn. Syst. 38 (2018), no. 9, 4353–4390. (with Jin, Sangdon). MR3824706
7. On the Hénon equation with a Neumann boundary condition: asymptotic profile of ground states, J. Funct. Anal. 274 (2018), no. 12, 3325–3376 (with Wang, Zhi-Qiang). MR3787594
8. Nonlinear scalar field equations involving the fractional Laplacian, Nonlinearity 30 (2017), no. 4, 1659–1681 (with Kwon, Ohsang and Seok, Jinmyoung). MR3636314
9. Pattern formation via mixed interactions for coupled Schrödinger equations under Neumann boundary condition, J. Fixed Point Theory Appl. 19 (2017), no. 1, 559–583 (with Sato, Yohei and Wang, Zhi-Qiang). MR3625084
10. A double well potential system, Anal. PDE J. Fixed Point Theory Appl. 9 (2016), no. 7, 1737–1772 (with Montecchiari, Piero and Rabinowitz, Paul H.). MR3570237
11. Pattern formation via mixed attractive and repulsive interactions for nonlinear Schrödinger systems, J. Math. Pures Appl. (9) 106 (2016), no. 3, 477–511 (with Sato, Yohei and Wang, Zhi-Qiang). MR3520445
12. On standing waves with a vortex point of order N for the nonlinear Chern-Simons-Schrödinger equations, J. Differential Equations 261 (2016), no. 2, 1285–1316 (with Huh, Hyungjin and Seok, Jinmyoung). MR3494398
13. Unbounded solutions for a periodic phase transition model, J. Differential Equations 260 (2016), no. 2, 1126–1153 (with Rabinowitz, Paul H.). MR3419723
14. Semi-classical standing waves for nonlinear Schrödinger systems, Calc. Var. Partial Differential Equations 54 (2015), no. 2, 2287–2340. MR3396454
15. Standing wave concentrating on compact manifolds for nonlinear Schrödinger equations, Commun. Pure Appl. Anal. 14 (2015), no. 3, 825–842 (with Kwon, Ohsang and Oshita, Yoshihito). MR3320153
16. Solutions of higher topological type for an Allen-Cahn model equation, J. Fixed Point Theory Appl. 15 (2014), no. 2, 379–404 (with Rabinowitz, Paul H.). MR3298005
17. Multi-bump positive solutions for a nonlinear elliptic problem in expanding tubular domains, Calc. Var. Partial Differential Equations 50 (2014), no. 1-2, 365–397 (with Tanaka, Kazunaga). MR3194687
18. Semiclassical standing waves with clustering peaks for nonlinear Schrödinger equations, Mem. Amer. Math. Soc. 229 (2014), no. 1076, viii+89 pp. ISBN: 978-0-8218-9163-6 (with Tanaka, Kazunaga). MR3186497
19. Asymptotic behavior of minima and mountain pass solutions for a class of Allen-Cahn models, Commun. Inf. Syst. 13 (2013), no. 1, 79–95 (with Rabinowitz, Paul H.). MR3216987
20. Existence of clustering high dimensional bump solutions of superlinear elliptic problems on expanding annuli, J. Funct. Anal. 265 (2013), no. 9, 1955–1980 (with Kim, Seunghyeok and Pistoia, Angela). MR3084494
21. Semi-classical standing waves for nonlinear Schrödinger equations at structurally stable critical points of the potential, J. Eur. Math. Soc. (JEMS) 15 (2013), no. 5, 1859–1899 (with Tanaka, Kazunaga). MR3082247
22. Singularly perturbed nonlinear Dirichlet problems involving critical growth, Calc. Var. Partial Differential Equations 47 (2013), no. 1-2, 65–85 (with Zhang, Jianjun and Zou, Wenming). MR3044132
23. On a phase transition model, Calc. Var. Partial Differential Equations 47 (2013), no. 1-2, 1–23 (with Rabinowitz, Paul H.). MR3044129
24. Variational approach to bifurcation from infinity for nonlinear elliptic problems, Proc. Roy. Soc. Edinburgh Sect. A 143 (2013), no. 2, 269–301 (with Lee, Youngae). MR3039812
25. Standing waves of nonlinear Schrödinger equations with optimal conditions for potential and nonlinearity, Commun. Pure Appl. Anal. 12 (2013), no. 2, 831–850 (with Bae, Soohyun). MR2982793
26. Nonlinear elliptic equations in strip-like domains, Adv. Nonlinear Stud. 12 (2012), no. 4, 749–765 (with Tanaka, Kazunaga). MR3012860
27. Standing waves of nonlinear Schrödinger equations with the gauge field, J. Funct. Anal. 263 (2012), no. 6, 1575–1608 (with Huh, Hyungjin and Seok, Jinmyoung). MR2948224
28. Singularly perturbed nonlinear Neumann problems under the conditions of Berestycki and Lions, J. Differential Equations 252 (2012), no. 6, 3848–3872. MR2875604
29. On the location of a peak point of a least energy solution for Hénon equation, Discrete Contin. Dyn. Syst. 30 (2011), no. 4, 1055–1081 (with Cho, Sungwon and Park, Junsang). MR2812953
30. Multi-bump standing waves with critical frequency for nonlinear Schrödinger equations, Ann. Inst. H. Poincaré Anal. Non Linéaire 27 (2010), no. 4, 1121–1152 (with Oshita, Yoshihito). MR2659160
31. Singularly perturbed nonlinear Dirichlet problems with a general nonlinearity, Trans. Amer. Math. Soc. 362 (2010), no. 4, 1981–2001. MR2574884
32. Symmetry and monotonicity of least energy solutions, Calc. Var. Partial Differential Equations 36 (2009), no. 4, 481–492 (with Jeanjean, Louisand Mariş, Mihai ). MR2558325
33. Standing waves for nonlinear Schrödinger equations with singular potentials, Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), no. 3, 943–958 (with Wang, Zhi-Qiang). MR2526410
34. Uniqueness of standing waves for nonlinear Schrödinger equations, Proc. Roy. Soc. Edinburgh Sect. A 138 (2008), no. 5, 975–987 (with Oshita, Yoshihito). MR2477447
35. Standing waves for nonlinear Schrödinger equations with a general nonlinearity: one and two dimensional cases, Comm. Partial Differential Equations 33 (2008), no. 4-6, 1113–1136 (with Jeanjean, Louis and Tanaka, Kazunaga). MR2424391
36. Singularly perturbed nonlinear Neumann problems with a general nonlinearity, J. Differential Equations 244 (2008), no. 10, 2473–2497. MR2414402
37. Multi-peak standing waves for nonlinear Schrödinger equations with a general nonlinearity, Discrete Contin. Dyn. Syst. 19 (2007), no. 2, 255–269 (with Jeanjean, Louis). MR2335747
38. Standing waves for nonlinear Schrödinger equations with a general nonlinearity, Arch. Ration. Mech. Anal. 185 (2007), no. 2, 185–200 (with Jeanjean, Louis). MR2317788
    Erratum: Arch. Ration. Mech. Anal. 190 (2008), no. 3, 549–551. MR2448327
    
39. On the Hénon equation: asymptotic profile of ground states. I, Ann. Inst. H. Poincaré Anal. Non Linéaire 23 (2006), no. 6, 803–828 (with Wang, Zhi-Qiang). MR2271694
40. Spherical semiclassical states of a critical frequency for Schrödinger equations with decaying potentials, J. Eur. Math. Soc. (JEMS) 8 (2006), no. 2, 217–228 (with Wang, Zhi-Qiang). MR2239273
41. Singularly perturbed nonlinear elliptic problems on manifolds, Calc. Var. Partial Differential Equations 24 (2005), no. 4, 459–477 (with Park, Junsang). MR2180862
42. Mountain pass solutions for singularly perturbed nonlinear Dirichlet problems, J. Differential Equations 217 (2005), no. 2, 257–281. MR2168823
43. On the Hénon equation: asymptotic profile of ground states. II, J. Differential Equations 216 (2005), no. 1, 78–108 (with Wang, Zhi-Qiang). MR2158918
44. Existence of multi-bump standing waves with a critical frequency for nonlinear Schrödinger equations, Comm. Partial Differential Equations 29 (2004), no. 11-12, 1877–1904 (with Oshita, Yoshihito). MR2106071
45. Standing waves with a critical frequency for nonlinear Schrödinger equations. II, Calc. Var. Partial Differential Equations 18 (2003), no. 2, 207–219 (with Wang, Zhi-Qiang). MR2010966
46. Standing wave solutions with a critical frequency for nonlinear Schrödinger equations. Topological methods, variational methods and their applications, (Taiyuan, 2002), 45–52, World Sci. Publ., River Edge, NJ, 2003 (with Wang, Zhi-Qiang). MR2010640
47. Standing waves with a critical frequency for nonlinear Schrödinger equations, Arch. Ration. Mech. Anal. 165 (2002), no. 4, 295–316 (with Wang, Zhi-Qiang). MR1939214
48. Effect of symmetry to the structure of positive solutions in nonlinear elliptic problems. III, Asymptot. Anal. 30 (2002), no. 3-4, 249–272. MR1932038
49. Symmetry breaking of extremal functions for the Caffarelli-Kohn-Nirenberg inequalities, Commun. Contemp. Math. 4 (2002), no. 3, 457–465 (with Wang, Zhi-Qiang). MR1918754
50. Standing waves for nonlinear Schrödinger equations with a radial potential, Nonlinear Anal. 50 (2002), no. 8, Ser. A: Theory Methods, 1135–1151. MR1914233
51. Singularly perturbed nonlinear Neumann problems on symmetric domains, Comm. Partial Differential Equations 26 (2001), no. 9-10, 1607–1631. MR1865939
52. Nonlinear elliptic problems on singularly perturbed domains, Proc. Roy. Soc. Edinburgh Sect. A 131 (2001), no. 5, 1023–1037. MR1862441
53. Effect of symmetry to the structure of positive solutions in nonlinear elliptic problems. II, J. Differential Equations 173 (2001), no. 2, 321–355. MR1834118
54. Effect of symmetry to the structure of positive solutions in nonlinear elliptic problems, J. Differential Equations 163 (2000), no. 2, 429–474. MR1758705
55. Nonlinear elliptic problems on rotationally symmetric domains. Variational problems and related topics, (Japanese) (Kyoto, 1997) Sūrikaisekikenkyūsho Kōkyūroku No. 1025 (1998), 5–19. MR1644791
56. Existence of large positive solutions of some nonlinear elliptic equations on singularly perturbed domains, Comm. Partial Differential Equations 22 (1997), no. 9-10, 1731–1769. MR1469588
57. Existence of many nonequivalent nonradial positive solutions of semilinear elliptic equations on three-dimensional annuli, J. Differential Equations 136 (1997), no. 1, 136–165. MR1443327