Research Publications

• Weighted Hessian estimates in Orlicz spaces for nondivergence elliptic operators with certain potentials,  accepted in Nonlinear Analysis, with  Yoonjung Lee.

• Local Calderón-Zygmund estimates for parabolic equations in weighted Lebesgue spaces, Mathematics in Engineering, (2023) Volume 5, Issue 3, 1-20 (Special Issue  "PDEs and Calculus of Variations–Dedicated to Giuseppe Mingione, on the occasion of his 50th birthday"), with  Jihoon Ok.

• Hölder continuity of the minimizer of an obstacle problem with generalized Orlicz growth, International Mathematics Research Notices,  (2022), no. 19, 15313–15354, with Arttu Karppinen.

• Local estimates for fully nonlinear parabolic equations in weighted spaces,  Mathematical Methods in the Applied Sciences, 45 (2022), no. 14, 8474–8486, (Special issue "Non standard Partial Differential Equations"), with  Jihoon Ok.

• Parabolic weighted Sobolev-Poincaré type inequalities,  Nonlinear Analysis, 218 (2022) 112772, 13 pp, with Lars Diening and  Jihoon Ok.

• Hölder continuity of ω-minimizers for functionals with generalized Orlicz growth, Annali della Scuola normale superiore di Pisa, Classe di scienze  (5) Vol. XXII (2021), 549--582, with Petteri Harjulehto and Peter Hästö.

• Hessian estimates for fully nonlinear equations via the large-M-inequality principle, J. Math. Anal. Appl. 501 (2021), no. 1, Paper No. 123953, 30 pp.  (Special issue "New Developments in Non-uniformly Elliptic and Nonstandard Growth Problems"), with  Jihoon Ok.

• Interior and boundary W1,q-estimates for quasi-linear equations of Schrödinger type, J. Differential Equations, 269 (2020), no. 5, 4406-4439, with  Jihoon Ok.

• Nonlinear Calderón-Zygmund theory involving dual data, Rev. Mat. Iberoam. 35 (2019), no. 4, 1053-1078, with  Jihoon Ok.

• Weighted Orlicz regularity estimates for fully nonlinear elliptic equations with asymptotic convexity, Communications in Contemporary Mathematics 21 (2019), no. 4, 1850024, 29 pp.

• Nondivergence parabolic equations in weighted variable exponent spaces, Transactions of American Mathematical Society, 370  (2018),  no. 4, 2263-2298, with  Sun-Sig Byun and Jihoon Ok.

• Weighted Hessian estimates in Orlicz spaces for fully nonlinear elliptic equations, Nonlinear Analysis, 162 (2017) 178-196, with  Sun-Sig Byun and Jihoon Ok.

• Hessian estimates in weighted Sobolev spaces for fully nonlinear elliptic equations,  J. Differential Equations, 260 (5) (2016), 4550-4571, with Sun-Sig Byun and Dian K. Palagachev.

• W 2,p(.) -regularity for elliptic equations in nondivergence form with BMO coefficients, Math. Ann.  363  (2015),  no. 3-4, 1023-1052, with Sun-Sig Byun and Jihoon Ok.

• Weighted estimates for nondivergence parabolic equations in Orlicz spaces, J. Funct. Anal., 269 (8) (2015), 2530-2563, with Sun-Sig Byun.

• On weighted W2,p estimates for elliptic equations with BMO coefficients in nondivergence form, Internat. J. Math., 26 (1) (2015), 1550001, 28 pp, with Sun-Sig Byun.

Preprints

• Lq-regularity for nonlinear elliptic equations with Schrödinger-type lower order terms,  submitted, with Jihoon Ok.

•  Calderón-Zygmund estimates for nonlinear equations of differential forms with BMO coefficients,  submitted, with  Jihoon Ok and Juncheol Pyo.

Last updated:  February 2024