Ho-Sik Lee

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20242026

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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…