Hyunseok Kim

collaborators

2 papers

math.AP2025

Optimal regularity results in Sobolev-Lorentz spaces for linear elliptic equations with $L^{1}$ - or measure data

Hyunseok Kim, Young-Ran Lee, Jihoon Ok

It has been well known that if $Ω$ is a bounded $C^{1}$ -domain in $R^{n}, n \geq 2$ , then for every Radon measure $f$ on $Ω$ with finite total variation, there exists a unique weak so…

math.AP2023

On linear elliptic equations with drift terms in critical weak spaces

Hyunseok Kim, Tuoc Phan, Tai-Peng Tsai

We study the Dirichlet problem for a second order linear elliptic equation in a bounded smooth domain $Ω$ in $R^{n}$ , $n \geq 3$ , with the drift $b$ belonging to th…

Optimal regularity results in Sobolev-Lorentz spaces for linear elliptic equations with L1- or measure data

On linear elliptic equations with drift terms in critical weak spaces

Optimal regularity results in Sobolev-Lorentz spaces for linear elliptic equations with $L^{1}$ - or measure data