23 citations · 27 across the 19 of their papers we have counts for
6 papers · 1 filter
Quantitative bounds for Hölder exponents in the Krylov--Safonov and Evans--Krylov theories
Jongmyeong Kim, Se-Chan Lee
We establish quantitative bounds for Hölder exponents in the Krylov--Safonov and Evans--Krylov theories when the ellipticity ratio is close to one. Our analysis relies on the Ishii…
Nonlocal Harnack inequality in a disconnected region
Se-Chan Lee
We establish a Harnack inequality for weak solutions of nonlocal equations in a disconnected region. The inequality compares the value of a solution on one connected component with…
Liouville theorem for singular solutions to nonlocal equations
Minhyun Kim, Se-Chan Lee
We study singular solutions to the fractional Laplace equation and, more generally, to nonlocal linear equations with measurable kernels. We establish Bôcher type results that char…
Boundary Hölder gradient estimates for parabolic -Laplace type equations
Se-Chan Lee, Yuanyuan Lian, Hyungsung Yun +1
In this paper, we study the boundary regularity for viscosity solutions of parabolic -Laplace type equations. In particular, we obtain the boundary pointwise regularit…
Time derivative estimates for parabolic -Laplace equations and applications to optimal regularity
Se-Chan Lee, Yuanyuan Lian, Hyungsung Yun +1
We establish the boundedness of time derivatives of solutions to parabolic -Laplace equations. Our approach relies on the Bernstein technique combined with a suitable approximat…
Optimal Hölder regularity for solutions to Signorini-type obstacle problems
Ki-Ahm Lee, Se-Chan Lee, Waldemar Schefer
We study the existence, uniqueness, and regularity of weak solutions to a class of obstacle problems, where the obstacle condition can be imposed on a subset of the domain. In part…