Hyunseok Kim

activity

20182023

most citedExistence, uniqueness, and regularity results for elliptic equations with drift terms in critical weak spaces

3 citations · 3 across the 5 of their papers we have counts for

collaborators

5 papers

math.AP2023

Global existence and uniqueness of weak solutions of a Stokes-Magneto system with fractional diffusions

Hyunseok Kim, Hyunwoo Kwon

We consider a Stokes-Magneto system in $R^{d}$ ( $d \geq 2$ ) with fractional diffusions $Λ^{2 α} u$ and $Λ^{2 β} b$ for the velocity $u$ and…

math.AP2022

Dirichlet problems for second order linear elliptic equations with $L^{1}$ -data

Hyunseok Kim, Jisu Oh

We consider the Dirichlet problems for second order linear elliptic equations in non-divergence and divergence forms on a bounded domain $Ω$ in $R^{n}$ , $n \geq 2$ : $$ -\sum_…

math.FA2021

Interpolation inequalities in function spaces of Sobolev-Lorentz type

Jaeseong Byeon, Hyunseok Kim, Jisu Oh

Interpolation inequalities in Triebel-Lizorkin-Lorentz spaces and Besov-Lorentz spaces are studied for both inhomogeneous and homogeneous cases. First we establish interpolation in…

math.AP2018★ 3 cited

Existence, uniqueness, and regularity results for elliptic equations with drift terms in critical weak spaces

Hyunseok Kim, Tai-Peng Tsai

We consider Dirichlet problems for linear elliptic equations of second order in divergence form on a bounded or exterior smooth domain $Ω$ in $R^{n}$ , $n \geq 3$ , with drifts…

math.AP2018

Dirichlet and Neumann problems for elliptic equations with singular drifts on Lipschitz domains