Research
Submitted Papers
(with Quoc-Hung Nguyen and Jihoon Ok) Wolff potentials and nonlocal equations of Lane-Emden type, submitted.
(with Iwona Chlebicka, Yeonghun Youn, and Anna Zatorska-Goldstein) Riesz potential estimates for mixed local-nonlocal problems with measure data, submitted.
(with Sun-Sig Byun and Ho-Sik Lee) Regularity results for mixed local and nonlocal double phase functionals, submitted.
Published and Accepted Papers
(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.