Publications

Submitted papers

• W^{2,\delta} estimates for a class of singular fully nonlinear elliptic equations, with Sun-Sig Byun and Jehan Oh, submitted.

• C1 regularity for a general class of degenerate/singular fully nonlinear free transmission problems, with Sun-Sig Byun and Jehan Oh, submitted.

Published and accepted papers

1. Regularity for Orlicz phase problems, with Sun-Sig Byun, Memoirs of the American Mathematical Society, to appear, Arxiv.

2. C^{1,\alpha}-regularity for a class of degenerate/singular fully nonlinear elliptic equations, with Sun-Sig Byun, Ki-Ahm Lee  and Se-Chan Lee, Interfaces and Free Boundaries, 26 (2024), no. 2, 189-215, Article.

3. Gradient estimates for Orlicz double phase problems, with Sun-Sig Byun, The Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, (5) Vol. XXIV (2023), 2215-2268, Article

4. Global regularity results for a class of singular/degenerate fully nonlinear elliptic equations, with Sun-Sig Byun, Ki-Ahm Lee and Se-Chan Lee, Mathematische Zeitschrift, 306 (1) (2024), Article.

5. Self-improving properties of very weak solutions to double phase systems, with Sun-Sig Byun and Wontae Kim, Transactions of the American Mathematical Society, 376 (12) (2023), 8733-8768, Article.

6. C^{1}-regularity for some degenerate/singular fully nonlinear elliptic equations, with Sun-Sig Byun and Jehan Oh, Applied Mathematics Letters, 146 (2023), 108830. Article.

7. Gradient estimates for Orlicz double phase problems with variable exponents, with Sun-Sig Byun and Ho-Sik Lee, Nonlinear Analysis, 221 (2022), 112891. Article.

8. Irregular obstacle problems for Orlicz double phase, with Sun-Sig Byun, Journal of Mathematical Analysis and Applications, 507 (1), (2022). Article.

9. Global gradient estimates for quasilinear elliptic equations with general Orlicz growth with solution dependence, with Sun-Sig Byun and Ho-Sik Lee, Proceedings of American Mathematical Society, 149 (2021), 4189-4206. Article.

10. Gradient estimates for multi-phase problems, with Sun-Sig Byun and Jehan Oh, Calculus of Variations and Partial Differential Equations, 60 (2021) no.104. Article.

11. Calderon-Zygmund estimates for generalized double phase problems, with Sun-Sig Byun  and Jehan Oh, Journal of Functional Analysis, 279 (2020), no.7, 108670, 57 pp. Article.