Preprints

• Perron solutions and boundary regularity for nonlocal nonlinear Dirichlet problems (with Anders Björn and Jana Björn), arXiv:2406.05994, 33 pp.

• Wolff potential estimates and Wiener criterion for nonlocal equations with nonstandard growth (with Ki-Ahm Lee and Se-Chan Lee), arXiv:2312.16411, 38 pp.

• Supersolutions and superharmonic functions for nonlocal operators with Orlicz growth (with Se-Chan Lee), arXiv:2311.01246, 42 pp.

• Gradient Riesz potential estimates for a general class of measure data quasilinear systems (with Iwona Chlebicka and Marvin Weidner), arXiv:2307.15525, 36 pp.

• Curvature bound for Lₚ Minkowski problem (with Kyeongsu Choi and Taehun Lee),  arXiv:2304.11617, 26 pp.

• The fractional p-Laplacian on hyperbolic spaces (with Jongmyeong Kim and Ki-Ahm Lee), arXiv:2210.07029, 23 pp.

• Harnack inequality for fractional Laplacian-type operators on hyperbolic spaces (with Jongmyeong Kim and Ki-Ahm Lee), arXiv:2108.08746, 44 pp.

Publications

• Diameter estimate for planar Lₚ dual Minkowski problem (with Taehun Lee)
  Proc. Amer. Math. Soc. 152 (2024), no. 7, 3035–3049.

• Robust near-diagonal Green function estimates (with Moritz Kassmann and Ki-Ahm Lee)
  Int. Math. Res. Not. IMRN(2023), no. 19, 16957–16993.

• Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents
  Ann. Mat. Pura Appl. (4) 202 (2023), no. 6, 2653–2664.

• Local regularity for nonlocal equations with variable exponents (with Jamil Chaker)
  Math. Nachr. 296 (2023), no. 9, 4463–4489.

• The Wiener criterion for nonlocal Dirichlet problems (with Ki-Ahm Lee and Se-Chan Lee)
  Comm. Math. Phys. 400 (2023), no. 3, 1961–2003. 

• Harnack inequality for nonlocal problems with non-standard growth (with Jamil Chaker and Marvin Weidner)
  Math. Ann. 386 (2023), no. 1-2, 533–550.

• The concentration-compactness principle for the nonlocal anisotropic p-Laplacian of mixed order (with Jamil Chaker and Marvin Weidner)
  Nonlinear Anal. 232 (2023), Paper No. 113254, 18 pp.

• Regularity for nonlocal problems with non-standard growth (with Jamil Chaker and Marvin Weidner)
  Calc. Var. Partial Differential Equations 61 (2022), no. 6, Paper No. 227, 31 pp.

• Regularity estimates for fractional orthotropic p-Laplacians of mixed order (with Jamil Chaker)
  Adv. in Nonlinear Anal. 11 (2022), no. 1, 1307–1331.

• Harnack inequality for nonlocal operators on manifolds with nonnegative curvature (with Jongmyeong Kim and Ki-Ahm Lee)
  Calc. Var. Partial Differential Equations 61 (2022), no. 1, Paper No. 22, 29 pp.

• Generalized Evans–Krylov and Schauder type estimates for nonlocal fully nonlinear equations with rough kernels of variable orders (with Ki-Ahm Lee)
  J. Differential Equations 270 (2021), 883–915.

• Regularity for fully nonlinear integro-differential operators with kernels of variable orders (with Ki-Ahm Lee)
  Nonlinear Anal. 193 (2020), 111312, 27 pp.

• Boundary regularity for nonlocal operators with kernels of variable orders (with Panki Kim, Jaehun Lee and Ki-Ahm Lee)
  J. Funct. Anal. 277 (2019), no. 1, 279–332.

Extended abstracts

• Nonlocal functionals with non-standard growth, In Duván Cardona, Joel Restrepo and Michael Ruzhansky, Extended Abstracts 2021/2022, pages 27–36, Cham, 2024. Springer Nature Switzerland.

Ph.D. Thesis

• Regularity theory for nonlocal operators, Seoul National University, 2020.