131 citations · 190 across the 26 of their papers we have counts for
26 papers
Gradient continuity for -Laplacian obstacle problems under mean oscillation conditions
Sungjin Lee, Jihoon Ok
We establish the -regularity of solutions to the obstacle problems associated with -Laplacian type equations, where . Specifically, we prove that the gradient o…
Lipschitz regularity for orthotropic functionals with general growth
Mikyoung Lee, Jihoon Ok, Bianca Stroffolini
We study the local Lipschitz regularity of local minimizers for a class of degenerate orthotropic functionals with -growth, where is a general N-function. Unlike standard is…
Double phase quasiconvex functionals and their partial regularity theory
Sunwoo Jeong, Jihoon Ok
We consider degenerate nonautonomous energies for vector-valued functions , where the integrand satisfies growth…
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}{…