3 citations · 9 across the 9 of their papers we have counts for
10 papers
Translating surfaces under flows by sub-affine-critical powers of Gauss curvature
Beomjun Choi, Kyeongsu Choi, Soojung Kim
We classify the surfaces translating under the flows by sub-affine-critical powers of the Gauss curvature. This, in particular, lists all translating solitons possibly model Type I…
Vanishing time behavior of solutions to the fast diffusion equation
Kin Ming Hui, Soojung Kim
Let , and . We construct positive solutions to the fast diffusion equation in , which vanish at time . By…
Twisted solutions to a simplified Ericksen-Leslie equation
Yuan Chen, Soojung Kim, Yong Yu
In this article we construct global solutions to a simplified Ericksen-Leslie system on . The constructed solutions are twisted and periodic along the -axis with…
Asymptotic large time behavior of singular solutions of the fast diffusion equation
Kin Ming Hui, Soojung Kim
We study the asymptotic large time behavior of singular solutions of the fast diffusion equation in in the subcritical ca…
Harnack inequality for degenerate and singular operators of -Laplacian type on Riemannian manifolds
Soojung Kim
We study viscosity solutions to degenerate and singular elliptic equations of -Laplacian type on Riemannian manifolds. The Krylov-Safonov type Harnack inequality for the -Lap…
Estimates on parabolic equations that hold only where the space-time gradient is large
Soojung Kim
We study the Krylov-Safonov type Hölder estimate and Harnack inequality for viscosity solutions satisfying a uniformly parabolic equation only where the gradient with respect to th…
Regularity for fully nonlinear integro-differential operators with regularly varying kernels
Soojung Kim, Yong-Cheol Kim, Ki-Ahm Lee
In this paper, the regularity results for the integro-differential operators of the fractional Laplacian type by Caffarelli and Silvestre \cite{CS1} are extended to those for the i…
Second derivative estimates for uniformly elliptic operators on Riemannian manifolds
Soojung Kim
In this paper, we obtain a uniform -estimate of solutions to the fully nonlinear uniformly elliptic equations on Riemannian manifolds with a lower bound of secti…
Parabolic Harnack inequality of viscosity solutions on Riemannian manifolds
Soojung Kim, Ki-Ahm Lee
We consider viscosity solutions to nonlinear uniformly parabolic equations in nondivergence form on a Riemannian manifold , with the sectional curvature bounded from below by $-…
Asymptotic Behavior in Degenerate Parabolic Fully Nonlinear equations and its application to Elliptic Eigenvalue Problems
Soojung Kim, Ki-ahm Lee
We study the asymptotic behavior of the nonlinear parabolic flows when $t\ra \infty$ for , and the geometric properties for solutions of the following e…