23 citations · 157 across the 57 of their papers we have counts for
6 papers · 1 filter
Anisotropic flow of convex hypersurfaces by the square root of the scalar curvature
Hyunsuk Kang, Lami Kim, Ki-Ahm Lee
We show the existence of a smooth solution for the flow deformed by the square root of the scalar curvature multiplied by a positive anisotropic factor given a strictly convex…
Asymptotic behavior of solutions for nonlinear elliptic problems with the fractional Laplacian
Woocheol Choi, Seunghyeok Kim, Ki-Ahm Lee
In this paper we study the asymptotic behavior of least energy solutions and the existence of multiple bubbling solutions of nonlinear elliptic equations involving the fractional L…
-Gauss Curvature flows
Lami Kim, Ki-ahm Lee
In this paper, we study the deformation of the n-dimensional strictly convex hypersurface in whose speed at a point on the hypersurface is proportional to -pow…
Geometric Properties of Gelfand's Problems with Parabolic Approach
Sunghoon Kim, Ki-Ahm Lee
We consider the asymptotic profiles of the nonlinear parabolic flows $$(e^{u})_{t}= \La u+λe^u$$ to show the geometric properties of the following elliptic nonlinear eigenvalue pro…
Homogenization of fully nonlinear elliptic equations with oscillating dirichlet boundary data
Ki-ahm Lee, Minha Yoo
This paper deals with the homogenization of fully nonlinear second order equation with an oscillating Dirichlet boundary data when the operator and boundary data are $\e$-periodic.…
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 $-…