Ho-Sik Lee

activity

20242026

collaborators

4 papers

math.AP2026

Self-improving properties for the fractional $p$ -Laplacian via nonlinear commutators

Ho-Sik Lee, Kyeong Song

We investigate a class of nonlocal equations whose leading operator is modeled on either the fractional $p$ -Laplacian or the regional fractional $p$ -Laplacian, $p \in (1, \infty)$ .…

math.AP2025

Regularity for mixed-order nonlinear fractional equations with degenerate coefficients

Ho-Sik Lee, Jihoon Ok, Kyeong Song

We consider a class of nonlinear integro-differential equations whose leading operator is obtained as a superposition of $(- Δ_{p})^{s}$ and $(- Δ_{p})^{t}$ , where $0 < s < t < 1 < p < \infty$ …

math.AP2025

Nonlocal Meyers' Example

Anna Kh. Balci, Lars Diening, Moritz Kassmann +1

We present nonlocal variants of the famous Meyers' example of limited higher integrability and differentiability. In the limit $s ↗ 1$ we recover the standard Meyers' exampl…

math.AP2024

Zaremba problem with degenerate weights

Anna Kh. Balci, Ho-Sik Lee

We establish Zaremba problem for Laplacian and $p$ -Laplacian with degenerate weights when the Dirichlet condition is only imposed in a set of positive weighted capacity. We prove w…

Self-improving properties for the fractional p-Laplacian via nonlinear commutators

Regularity for mixed-order nonlinear fractional equations with degenerate coefficients

Nonlocal Meyers' Example

Zaremba problem with degenerate weights

Self-improving properties for the fractional $p$ -Laplacian via nonlinear commutators