5 papers
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 and , where …
Nonlinear nonlocal equations in Reifenberg flat domains
Sun-Sig Byun, Kyeongbae Kim, Kyeong Song
We consider nonhomogeneous fractional -Laplace equations defined on a bounded nonsmooth domain which goes beyond the Lipschitz category. Under a sufficient flatness assumption o…
Riesz potential estimates for mixed local-nonlocal problems with measure data
Iwona Chlebicka, Kyeong Song, Yeonghun Youn +1
We study gradient regularity for mixed local-nonlocal problems modelled upon \[ -Δ_p u +(-Δ_p)^su=μ\qquad\text{for} \quad 2-\tfrac{1}{n}<p<\infty\quad \text{and}\quad s\in(0,1)\,,\…
Singular elliptic measure data problems with irregular obstacles
Sun-Sig Byun, Kyeong Song, Yeonghun Youn
We investigate elliptic irregular obstacle problems with -growth involving measure data. Emphasis is on the strongly singular case , and we obtain several new c…
Regularity results for mixed local and nonlocal double phase functionals
Sun-Sig Byun, Ho-Sik Lee, Kyeong Song
We investigate the De Giorgi-Nash-Moser theory for minimizers of mixed local and nonlocal functionals modeled after \[ v \mapsto \int_{\mathbb{R}^{n}}\int_{\mathbb{R}^{n}}\dfrac{|v…