Research

Sumitted Papers

• Wolff potentials and nonlocal equations of Lane-Emden type, Q. H. Nguyen, Jihoon Ok, Kyeong Song.

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

 Published and Accepted papers

• Partial regularity for degenerate parabolic systems with general growth via caloric approximations. Jihoon Ok, Giovanni Scilla, Bianca Stroffolini,  Calc. Var. Partial Differential Equations, 63 (2024), no. 4, Paper No. 105.

• Calderón-Zygmund estimates for nonlinear equations of differential forms with BMO coefficients. Mikyoung Lee, Jihoon Ok, Juncheol Pyo, J. Differential Equations, 397 (2024), 262-288.

• Regularity theory for parabolic systems with Uhlenbeck structure. Jihoon Ok, Giovanni Scilla, Bianca Stroffolini, J. Math. Pures Appl., 182 (2024), 116–163. 

• Regularity theory for non-autonomous problems with a priori assumptions. Peter Hästö, Jihoon Ok, Calc. Var. Partial Differential Equations, 62 (2023), no. 9, Paper No. 251.

• Local Hölder continuity for fractional nonlocal equations with general growth. Sun-Sig Byun, Hyojin kim, Jihoon Ok, Math. Ann. 387 (2023), no. 1-2, 807–846.

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

• Local Hölder regularity for nonlocal equations with variable powers. Jihoon Ok, Calc. Var. Partial Differential Equations, 62 (2023), no. 1, Paper No. 32.

• Hölder regularity for weak solutions to nonlocal double phase problems. Sun-Sig Byun, Jihoon Ok, Kyeong Song, J. Math. Pures Appl., (9) 168 (2022), 110–142.

• Boundary partial regularity for minimizers of discontinuous quasiconvex integrals with general growth. Jihoon Ok, Giovanni Scilla, Bianca Stroffolini, Commun. Pure Appl. Anal., 21 (2022), no. 12, 4173–4214.

• Regularity theory for non-autonomous partial differential equations without Uhlenbeck structure. Peter Hästö, Jihoon Ok. Arch. Ration. Mech. Anal. 245 (2022) 1401-1436.

• Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients. Jehan Oh, Jihoon Ok, Math. Methods Appl. Sci. 45 (2022), no. 14,  8718-8736. (Special issue "Non standard Partial Differential Equations")

• Local esstimate for fully nonlinear parabolic equations in wieghted spaces. Mikyoung Lee, Jihoon Ok, Math. Methods Appl. Sci. 45 (2022), no. 14,  8474-8486. (Special issue "Non standard Partial Differential Equations")

• Parabolic weighted Sobolev-Poincaré type inequalities. Lars Diening, Mikyoung Lee, Jihoon Ok, Nonlinear Anal. 218 (2022), Paper No. 112772, 13 pp. 

• Maximal regularity for local minimizers of non-autonomous functionals. Peter Hästö, Jihoon Ok,  J. Eur. Math. Soc. (JEMS) 24 (2022), no. 4, 1285–1334.  

• Higher integrability for parabolic systems with Orlicz growth. Peter Hästö, Jihoon Ok,  J. Differential Equations 300 (2021), 925–948.

• Hessian estimates for fully nonlinear equations via the large-M-inequality principle.  Mikyoung Lee, Jihoon Ok, 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")

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

• Irregular double obstacle problems in Orlicz spaces. Sun-Sig Byun, Shuang Liang, Jihoon Ok,  J. Geom. Anal. 30 (2020), no. 2, 1965–1984.  (Special issue "Perspectives of Geometric Analysis in PDEs")

• Partial regularity for non-autonomous degenerate quasi-convex functionals with general growth. Pietro Celada, Jihoon Ok,  Nonlinear Anal.  194 (2020), 111473, 36 pp. (Special issue "Nonlinear Potential Theory") 

• Regularity for double phase problems under additional integrability assumptions. Jihoon Ok,  Nonlinear Anal.  194 (2020), 111408, 13 pp. (Special issue "Nonlinear Potential Theory") 

• Calder\'on--Zygmund estimates in generalized Orlicz spaces. Peter Hästö, Jihoon Ok,  J. Differential Equations,  267 (2019) 2792–2823.

• Nonlinear Calderón-Zygmund theory involving dual data. Mikyoung Lee, Jihoon Ok,  Rev. Mat. Iberoamericana,  35 (2019), no. 4, 1053–1078.

• Regularity for parabolic equations with time dependent growth. Jihoon Ok, J. Math. Pures Appl. 120 (2018), 253-293. 

• Partial regularity for general systems of double phase type with continuous coefficients. Jihoon Ok, Nonlinear Anal. 177 (2018), part B, 673-698.  (Special issue in honor of Carlo Sbordone for his 70th birthday) 

• Global gradient estimates for spherical quasi-minimizers of integral functionals with p(x)-growth. Sun-Sig Byun,  Jihoon Ok, Youn Yeonghun Nonlinear Anal. 177 (2018), part A, 186–208.  (Special issue in honor of Carlo Sbordone for his 70th birthday) 

• Boundary partial Hölder regularity for elliptic systems with non-standard growth. Jihoon Ok, Electron. J. Differential Equations. 2018, Paper No. 84, 25 pp. 

• Harnack inequality for a class of functionals with non-standard growth via De Giorgi’s method. Jihoon Ok,  Advances in Nonlinear Analysis. 7 (2018), no. 2, 167-182.

• Nondivergence parabolic equations in weighted variable exponent space. Sun-Sig Byun, Mikyoung Lee, Jihoon Ok, Trans. Amer. Math. Soc. 370 (2018), no.4, 2263-2298.

• Partial Hölder regularity for elliptic systems with non-standard growth. Jihoon Ok, J. Funct. Anal. 274 (2018), no. 3, 723-768.

• Regularity estimates for quasilinear elliptic equations with variable growth involving measure data. Sun-Sig Byun, Jihoon Ok, Jung-Tae Park, Ann. Inst. H. Poincaré Anal. Non Linéaire, 34 (2017), no. 7, 1639-1667.

• C1-regularity for minima of functionals with p(x)-growth. Jihoon Ok, J. Fixed Point Theory Appl. 19 (2017), no. 4, 2697-2731. 

• Weighted regularity estimates in Orlicz spaces for fully nonlinear elliptic equations.Sun-Sig Byun, Mikyoung Lee, Jihoon Ok, Nonlinear Anal. 162 (2017), 178-196.

• Calderón–Zygmund estimates for ω-minimizers. Jihoon Ok, J. Differential Equations 263 (2017), no. 5, 3090-3109.

• Regularity of ω-minimizers for a class of functionals with non-standard growth. Jihoon Ok, Calc. Var. Partial Differential Equations, 56 (2017), no. 2, 56:48.

• Gradient continuity for nonlinear obstacle problems. Jihoon Ok, Mediterr. J. Math. 14 (2017), no. 1, 14:16.

• Partial continuity for a class of elliptic systems with non-standard growth. Jihoon Ok, Electron. J. Differential Equations 2016 (323) (2016), 1-24.

• Nonlinear Parabolic Equations with Variable Exponent Growth in Nonsmooth Domains. Sun-Sig Byun, Jihoon Ok, SIAM J. Math. Anal. 48 (2016), no. 5, 3148-3190.

• Regularity results for a class of obstacle problems with nonstandard growth. Jihoon Ok, J. Math. Anal. Appl. 444 (2016), no. 2, 957-979. 

• Calderón-Zygmund estimates for a class of obstacle problems with nonstandard growth. Jihoon Ok, Nonlinear Differential Equations Appl (NoDEA), 23 (2016), no. 4, 23:50.

• On W1,q(·)-estimates for elliptic equations of p(x)-Laplacian type. Sun-Sig Byun, Jihoon Ok, J. Math. Pures Appl. (9) 106 (2016), no. 3, 512-545.

• Optimal gradient estimates for parabolic equations in variable exponent spaces. Sun-Sig Byun, Jihoon Ok, Int. Math. Res. Not. (IMRN) (2016), no. 8, 2493-2521.

• Global gradient estimates for elliptic equations of p(x)-Laplacian type with BMO nonlinearity. Sun-Sig Byun, Jihoon Ok, Seungjin Ryu, J. Reine Angew. Math.(Crelle’s Journal) 715 (2016), 1-38. 

• Gradient continuity for p(·)-Laplace systems. Jihoon Ok, Nonlinear Anal. 141 (2016), 139-166. 

• Gradient estimates for elliptic equations with Lp(·) log L growth. Jihoon Ok, Calc. Var. Partial Differential Equations 55 (2016), no. 2, 55:26.

• Parabolic systems with measurable coefficients in weighted Orlicz spaces. Sun-Sig Byun, Jihoon Ok, Dian K. Palagachev, Lubomira G. Sofotova, Commun. Contemp. Math.18 (2016), no. 2, 1550018.

• W2,p(·)-regularity for elliptic equations in nondivergence form with BMO coefficients. Sun-Sig Byun, Mikyoung Lee, Jihoon Ok, Math. Ann. 363 (2015), no. 3-4, 1023-1052.

• W1,p(·)-regularity for elliptic equations with measurable coefficients in nonsmooth domains. Sun-Sig Byun, Jihoon Ok, Lihe Wang, Comm. Math. Phys. 329 (2014), no.3, 937-958.

• Global gradient estimates for general nonlinear parabolic equations in nonsmooth domains.  Sun-Sig Byun, Jihoon Ok, Seungjin Ryu, J. Differential Equations 254 (2013), no. 11, 4290-4326.