Submitted Papers
(with Yeonghun Youn) Gradient estimates for degenerate elliptic measure data problems with double phase, submitted.
(with Sun-Sig Byun and Kyeongbae Kim) Nonlinear nonlocal equations in Reifenberg flat domains, submitted.
(with Jihoon Ok) Nonlocal equations with kernels of general order, submitted.
(with Quoc-Hung Nguyen and Jihoon Ok) Wolff potentials and nonlocal equations of Lane-Emden type, submitted.
Published and Accepted Papers
(with Iwona Chlebicka, Yeonghun Youn, and Anna Zatorska-Goldstein) Riesz potential estimates for mixed local-nonlocal problems with measure data, J. Lond. Math. Soc., to appear.
(with Yumi Cho and Seungjin Ryu) Global Calderón–Zygmund estimates for parabolic quasiminimizers, Bull. Lond. Math. Soc. 57 (2025), no. 8, 2265–2285.
Gradient estimates for irregular obstacle problems with measure data, J. Math. Anal. Appl. 545 (2025), no. 2, Paper No. 129168.
(with Sun-Sig Byun and Ho-Sik Lee) Regularity results for mixed local and nonlocal double phase functionals, J. Differential Equations 416 (2025), 1528–1563.
(with Sun-Sig Byun and Yeonghun Youn) Singular elliptic measure data problems with irregular obstacles, Nonlinear Anal. 245 (2024), Paper No. 113559.
(with Sun-Sig Byun and Hyojin Kim) Nonlocal Harnack inequality for fractional elliptic equations with Orlicz growth, Bull. Lond. Math. Soc. 55 (2023), no. 5, 2382–2399.
(with Sun-Sig Byun and Yeonghun Youn) Fractional differentiability for elliptic double obstacle problems with measure data, Z. Anal. Anwend. 42 (2023), no. 1-2, 37–64.
(with Sun-Sig Byun) Fractional differentiability for elliptic measure data problems with variable exponents, J. Differential Equations 375 (2023), 769–795.
(with Sun-Sig Byun and Yeonghun Youn) Potential estimates for elliptic measure data problems with irregular obstacles, Math. Ann. 387 (2023), no. 1-2, 745–805.
(with Yeonghun Youn) A note on comparison principle for elliptic obstacle problems with $L^{1}$-data, Bull. Korean Math. Soc. 60 (2023), no. 2, 495–505.
(with Sun-Sig Byun) Mixed local and nonlocal equations with measure data, Calc. Var. Partial Differential Equations 62 (2023), no. 1, Paper No. 14.
(with Sun-Sig Byun and Jihoon Ok) Hölder regularity for weak solutions to nonlocal double phase problems, J. Math. Pures Appl. (9) 168 (2022), 110–142.
(with Sun-Sig Byun) Maximal integrability for general elliptic problems with diffusive measures, Mediterr. J. Math. 19 (2022), no. 2, Paper No. 78.
(with Sun-Sig Byun and Pilsoo Shin) Fractional differentiability for a class of double phase problems with measure data, Manuscripta Math. 167 (2022), no. 3-4, 521–543.
(with Sun-Sig Byun and Namkyeong Cho) Optimal fractional differentiability for nonlinear parabolic measure data problems, Appl. Math. Lett. 112 (2021), Paper No. 106816.