The double obstacle problems near the fixed boundary with homogeneous boundary data
(with Takwon Kim, Ki-Ahm Lee, Ji-Hun Yoon) Pricing Vulnerable Options in Fractional Brownian Markets: a Partial Differential Equations Approach, Fractional Calculus and Applied Analysis, 27 (2024): 247-280
(with Sunghoon Kim, Ki-Ahm Lee) Properties of the free boundaries for the obstacle problem of the porous medium equations, Advance in Calculus of Variations, 17(1) (2024): 209-235.
(with Ki-Ahm Lee) The regularity theory for the double obstacle problem for fully nonlinear operator, Nonlinear Analysis, 235 (2023): 113332.
(with Takwon Kim, Ki-Ahm Lee) A Double Obstacle Problem in an Optimal Investment Problem, Nonlinear Analysis, 232 (2023): 113282.
Properties of the free boundary near the fixed boundary of the double obstacle problems, Bulletin of Mathematical Sciences 12, no.3 (2022): 2150009.
(with Ki-Ahm Lee and Taehun Lee) The obstacle problem for parabolic Monge-Ampère equation, Journal of Differential Equations 309 (2022): 608-649
(with Kin Ming Hui) Asymptotic behaviour of singular solution of the fast diffusion equation in the punctured Euclidean space, Discrete and Continuous Dynamical Systems, 41, no. 11 (2021): 5473-5508.
(with Ki-Ahm Lee and Taehun Lee) The obstacle problem for the Monge-Ampère equation with lower obstacle, Nonlinear Analysis 210 (2021): 112374.
(with Ki-Ahm Lee) The regularity theory for the parabolic double obstacle problem, Mathematische Annalen, 381 (2021): 685–728, https://doi.org/10.1007/s00208-020-02011-7.
(with Ki-Ahm Lee and Henrik Shahgholian) The regularity theory for the double obstacle problem, Calculus of Variations and Partial Differential Equations 58, no. 3 (2019): 104.
(with Sun-Sig Byun, Ki-Ahm Lee, and Jehan Oh) Regularity results of the thin obstacle problem for the p(x)-Laplacian, Journal of Functional Analysis 276, no. 2 (2019): 496-519.
(with Ki-Ahm Lee) Obstacle problem for a non-convex fully nonlinear operator, Journal of Differential Equations 265, no. 11 (2018): 5809-5830.
(with Sun-Sig Byun, Ki-Ahm Lee, and Jehan Oh) Nondivergence elliptic and parabolic problems with irregular obstacles, Mathematische Zeitschrift 290, no. 3-4 (2018): 973-990.
The Obstacle Problem for Porous Medium Equation.
Existence and Uniqueness of the Solution for Degenerate Parabolic Equations (Applications to Financial Modelling)