Sunghan Kim
Postdoktor vid Matematiska institutionen; Analys och partiella differentialekvationer
- Telefon:
- 018-471 31 86
- E-post:
- sunghan.kim@math.uu.se
- Besöksadress:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postadress:
- Box 480
751 06 UPPSALA
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Kort presentation
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My primary interest in mathematics concerns the regularity theory for partial differential equations, specially the study of the regularity of solutions and their level sets. The topic lies in the interface of analysis and geometry. I have a great enthusiasm in exploring new topics and developing novel techniques that combine these areas. Particularly, I am interested in free boundary problems and homogenization problems.
Nyckelord
- analysis
- free boundary problems
- homogenization problems
- partial differential equations
- regularity
Forskning
Denna text finns inte på svenska, därför visas den engelska versionen.
Preprints
(with A. Figalli, A. Guerra and H. Shahgholian) Constraint maps with free boundaries: the Bernoulli case, arXiv:2311.03006, 2023
(with K. Nyström) Higher order interpolative geometries and gradient regularity in evolutionary obstacle problems, arXiv: 2308.15818, 2023, to appear in J. Math. Pure Appl.
(with A. Figalli and H. Shahgholian) Constraint maps with free boundaries: the obstacle case, arXiv:2302.07870, 2023.
(with H. Shahgholian) Almost minimizers to a transmission problem for (p,q) -Laplacian, arXiv:2301.08624, 2023, to appear in Nonlinear Anal.
Publikationer
Senaste publikationer
- Higher order interpolative geometries and gradient regularity in evolutionary obstacle problems (2024)
- Almost minimizers to a transmission problem for (p,q)-Laplacian (2024)
- Lipschitz regularity in vectorial linear transmission problems (2022)
- Uniform Estimates in Periodic Homogenization of Fully Nonlinear Elliptic Equations (2022)
- Nodal sets for broken quasilinear partial differential equations with Dini coefficients (2021)
Alla publikationer
Artiklar
- Higher order interpolative geometries and gradient regularity in evolutionary obstacle problems (2024)
- Almost minimizers to a transmission problem for (p,q)-Laplacian (2024)
- Lipschitz regularity in vectorial linear transmission problems (2022)
- Uniform Estimates in Periodic Homogenization of Fully Nonlinear Elliptic Equations (2022)
- Nodal sets for broken quasilinear partial differential equations with Dini coefficients (2021)
- Isolated singularities for semilinear elliptic systems with power-law nonlinearity (2020)
- Higher order convergence rates in theory of homogenization II: Oscillatory initial data (2020)
- Homogenization of the boundary value for the Dirichlet problem (2019)
- Nodal sets for "broken" quasilinear pdes (2019)
- Homogenization of a Singular Perturbation Problem (2019)
- Exact behavior around isolated singularity for semilinear elliptic equations with a log-type nonlinearity (2018)
- Higher order convergence rates in theory of homogenization III: Viscous Hamilton–Jacobi equations (2018)
- An elliptic free boundary arising from the jump of conductivity (2017)
- Higher Order Convergence Rates in Theory of Homogenization: Equations of Non-divergence Form (2015)
- Constraint maps with free boundaries
- Constraint maps with free boundaries
- Uniform Integrability in Periodic Homogenization of Fully Nonlinear Elliptic Equations
