Kyeong Song

collaborators

3 papers

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 equations with kernels of general order

Jihoon Ok, Kyeong Song

We consider a broad class of nonlinear integro-differential equations with a kernel whose differentiability order is described by a general function $ϕ$ . This class includes not on…

math.AP2024

Wolff potentials and nonlocal equations of Lane-Emden type

Quoc-Hung Nguyen, Jihoon Ok, Kyeong Song

We consider nonlocal equations of the type \[ (-Δ_{p})^{s}u = μ\quad \text{in}\;\; Ω, \] where $Ω \subset R^{n}$ is either a bounded domain or the whole $R^{n}$ , $…