Hyunseok Kim

activity

20182022

collaborators

3 papers

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

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…

Dirichlet problems for second order linear elliptic equations with L1-data

Interpolation inequalities in function spaces of Sobolev-Lorentz type

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

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