131 citations · 190 across the 26 of their papers we have counts for
6 papers · 2 filters
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 …
Higher integrability for parabolic PDEs with generalized Orlicz growth
Peter Hästö, Jihoon Ok
We prove higher integrability of the gradient of weak solutions to nonlinear parabolic systems whose prototype is \[ \partial_t u-\mathrm{div}\Big(\frac{φ'(z, |\nabla u|)}{|\nabla…
Partial regularity for parabolic systems of double phase type
Jihoon Ok, Giovanni Scilla, Bianca Stroffolini
We study partial regularity for nondegenerate parabolic systems of double phase type, where the growth function is given by , , with $\tfrac{2n}{…
Optimal regularity results in Sobolev-Lorentz spaces for linear elliptic equations with - or measure data
Hyunseok Kim, Young-Ran Lee, Jihoon Ok
It has been well known that if is a bounded -domain in , then for every Radon measure on with finite total variation, there exists a unique weak so…
Mean oscillation conditions for nonlinear equation and regularity results
Peter Hästö, Mikyoung Lee, Jihoon Ok
We consider general nonlinear elliptic equations of the form \[ \operatorname{div}\, A(x,Du) = 0 \quad \text{in } Ω, \] where satisfies a qu…
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 . This class includes not on…