Preprints
Regularity for solutions of non-uniformly elliptic equations in non-divergence form (with Jongmyeong Kim), arXiv:2406.18250, 17pp.
Wolff potential estimates and Wiener criterion for nonlocal equations with nonstandard growth (with Minhyun Kim and Ki-Ahm Lee), arXiv:2312.16411, 38 pp.
Supersolutions and superharmonic functions for nonlocal operators with Orlicz growth (with Minhyun Kim), arXiv:2311.01246, 42 pp.
The Wiener criterion for fully nonlinear elliptic equations (with Ki-Ahm Lee), arXiv:2301.00960, 35pp.
Publications
C¹˒ᵅ-regularity for a class of degenerate/singular fully non-linear elliptic equations (with Sumiya Baasandorj, Sun-Sig Byun, and Ki-Ahm Lee)
Interfaces Free Bound. 26 (2024), no. 1, 189-215.
C¹˒ᵅ-regularity for solutions of degenerate/singular fully nonlinear parabolic equations (with Ki-Ahm Lee and Hyungsung Yun)
J. Math. Pures Appl. (9) 181 (2024), 152-189.Global regularity results for a class of singular/degenerate fully nonlinear elliptic equations (with Sumiya Baasandorj, Sun-Sig Byun, and Ki-Ahm Lee)
Math. Z. 306 (2024), no. 1, 1-26.
C¹˒ᵅ-regularity for solutions in solution classes and its application to parabolic normalized p-Laplace equations (with Hyungsung Yun)
J. Differential Equations 378 (2024), 539-558.The Wiener criterion for nonlocal Dirichlet problems (with Minhyun Kim and Ki-Ahm Lee)
Comm. Math. Phys. 400 (2023), no. 3, 1961–2003.Viscosity method for random homogenization of fully nonlinear elliptic equations with highly oscillating obstacles (with Ki-Ahm Lee)
Adv. in Nonlinear Anal. 12 (2023), no. 1, 266-303.Random homogenization of φ-Laplace equations with highly oscillating obstacles (with Ki-Ahm Lee)
Indiana Univ. Math. J. 71 (2022), no. 6, 2377-2410.
The Wiener criterion for elliptic equations with Orlicz growth (with Ki-Ahm Lee)
J. Differential Equations 292 (2021), 132–175.