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…
A priori estimates for solutions of degenerate fully nonlinear elliptic equations with data
Hongsoo Kim, Se-Chan Lee
We establish a priori regularity estimates for viscosity solutions of degenerate fully nonlinear elliptic equations with integrable right-hand sides. When the nonhomogeneous term b…
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…