Kyeong Song

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.AP2026

Gradient estimates for singular elliptic measure data problems with double phase

Kyeong Song, Yeonghun Youn, Anna Zatorska-Goldstein

We consider elliptic measure data problems of the type \[ -\mathrm{div}\,(|Du|^{p-2}Du+a(x)|Du|^{q-2}Du) = Î¼\] in a bounded domain in $R^{n}$ , where $p < q$ and $a(\cdot) \ge…

math.AP2026

Gradient estimates for degenerate elliptic measure data problems with double phase

Kyeong Song, Yeonghun Youn

We study nonlinear elliptic equations modeled on \[ -\mathrm{div}\,(|Du|^{p-2}Du+a(x)|Du|^{q-2}Du) = Î¼, \] where $2 \leq p < q < \infty$ , $a (\cdot) \geq 0$ , and $I^¼$ is a signed Borel me…

math.AP2025

Nonlinear nonlocal equations in Reifenberg flat domains

Sun-Sig Byun, Kyeongbae Kim, Kyeong Song

We consider nonhomogeneous fractional $p$ -Laplace equations defined on a bounded nonsmooth domain which goes beyond the Lipschitz category. Under a sufficient flatness assumption o…

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

Gradient estimates for singular elliptic measure data problems with double phase

Gradient estimates for degenerate elliptic measure data problems with double phase

Nonlinear nonlocal equations in Reifenberg flat domains

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