Preprints

1. Constraint maps: insights and related themes (with A. Figalli, A. Guerra and H. Shahgholian), submitted

2. Constraint maps: singularities vs free boundaries (with A. Figalli, A. Guerra and H. Shahgholian),
   submitted

Publications/Accepted papers

1. Regularity near the fixed boundary for transmission systems (with A. Figalli, S. Khademloo and H. Shahgholian) In The Nina N. Uraltseva 90th Anniversary Volume: Friends in Partial Differential Equations (pp. 111–121), EMS Press, 2025.

2. Constraint maps and free boundaries  (with A. Figalli, A. Guerra and H. Shahgholian),
   Notices Amer. Math. Soc. 72 (2025), 494--503

3. Constraint maps with free boundaries: the Bernoulli case (with A. Figalli, A. Guerra and H. Shahgholian),
   J. Eur. Math. Soc. published online first, 2025.

4. Constraint maps with free boundaries: the obstacle case (with A. Figalli and H. Shahgholian),
   Arch. Ration. Mech. Anal., 248 (2024) 79. 

5. Higher order interpolative geometries and gradient regularity in evolutionary obstacle problems (with K. Nyström),
   J. Math. Pure Appl. 185 (2024), 1-46.

6. Almost minimizers to a transmission problem for $(p,q)$-Laplacian (with H. Shahgholian),
   Nonlinear Anal. 241 (2024), https://doi.org/10.1016/j.na.2023.113472.

7. Uniform integrability in periodic homogenization of fully nonlinear elliptic equations,
   Ann. Mat. Pura Appl. 202 (2023), 2585-2627.

8. A transmission problem for $(p,q)$-Laplacian (with M. Colombo and H. Shahgholian),
   Comm. Partial Differential Equations, 48 (2023), 315-349.

9. Lipschitz regularity in vectorial linear transmission problems (with A. Figalli and H. Shahgholian),
   Special issue: Recent developments in Free Boundary Problems, Nonlinear Anal. 221 (2022), 112911.

10. Uniform estimates in periodic homogenization of fully nonlinear elliptic equations (with K.-A. Lee),
    Arch. Rational Mech. Anal. 243 (2022), 697-745.

11. Nodal sets for broken quasilinear partial differential equations with Dini coefficients,
    Comm. Partial Differential Equations, 46 (2021), 1973-2014.

12. Isolated singularities for semilinear elliptic systems with power-law nonlinearity (with M. Ghergu and H. Shahgholian),
    Anal. PDE 13 (2020), 701-739.

13. Higher order convergence rates in theory of homogenization II: oscillatory initial data (with K.-A. Lee),
    Adv. Math. 362 (2020), 106960. 

14. Exact behavior around isolated singularity for semilinear elliptic equations with a log-type nonlinearity (with M. Ghergu and H. Shahgholian),
    Adv. Nonlinear Anal. 8 (2019), 995-1003. 

15. Homogenization of a singular perturbation problem (with H. Shahgholian),
    Special issue dedicated to Nina N. Uraltseva on the occasion of her 85th birthday, J. Math. Sci. (N. Y.) 242 (2019), 163--176.

16. Homogenization of the boundary value for the Dirichlet Problem (with K.-A. Lee and H. Shahgholian),
    Special issue dedicated to Luis A. Caffarelli on the occasion of his 70th birthday, Discrete Contin. Dyn. Syst. 39 (2019), 6843-6864.

17. Nodal sets for ``broken" quasilinear PDEs (with K.-A. Lee and H. Shahgholian),
    Indiana Univ. Math. J. 68 (2019), 1113-1148.

18. Higher order convergence rates in theory of homogenization of fully nonlinear partial differential equations,
    PhD Thesis, Seoul National University, 2019. 

19. Higher order convergence rates in theory of homogenization III: viscous Hamilton-Jacobi equations (with K.-A. Lee),
    J. Differential Equations 265 (2018), 5384-5418.

20. An elliptic free boundary arising from the jump of conductivity (with K.-A. Lee and H. Shahgholian),
    Nonlinear Anal. 161 (2017), 1-29. 

21. Higher order convergence rates in theory of homogenization: equations of non-divergence form (with K.-A. Lee),
    Arch. Ration. Mech. Anal. 219 (2016), 1273-1304.