8 papers
Harnack inequality for anisotropic fully nonlinear equations with nonstandard growth
Sun-Sig Byun, Hongsoo Kim
We establish Harnack inequalities for viscosity solutions of a class of degenerate fully nonlinear anisotropic elliptic equations exhibiting non-standard growth conditions. A prima…
Lipschitz regularity for fully nonlinear elliptic equations with -growth
Sun-Sig Byun, Hongsoo Kim
We prove the interior and global Lipschitz regularity results for a solution of fully nonlinear equations with -growth. We prove that for a small gap , a solution is lo…
Calderon-Zygmund estimates for generalized double phase equations with matrix weights
Sun-Sig Byun, Hongsoo Kim
We prove Calderon-Zygmund estimates for generalized double phase equations with Orlicz growth and variable matrix weights. The operator combines a non-uniformly elliptic double pha…
C^{1,α} regularity for a class of singular/degenerate fully nonlinear elliptic equations with oblique boundary conditions
Sun-Sig Byun, Hongsoo Kim, Seunghyun Kim
In this paper, we establish global regularity for viscosity solutions to a class of singular and degenerate fully nonlinear elliptic equations subject to oblique bounda…
ABP estimate and Harnack inequality for a class of degenerate fully nonlinear pseudo--Laplacian equations
Sun-Sig Byun, Hongsoo Kim
We prove Aleksandrov-Bakelman-Pucci estimates and Harnack inequalities for viscosity solutions of a class of degenerate fully nonlinear pseudo--Laplacian equations in nondiverge…
Calderón-Zygmund estimates for double phase problems with matrix weights
Sun-Sig Byun, Yumi Cho, Seungjin Ryu
We establish an optimal Calderón-Zygmund theory for nonuniformly elliptic double phase problems with matrix weights. For , (), a…