9 papers
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…
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 boundar…
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 with nonstandard growth, including anisotropic-$(p…
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…
Lipschitz regularity for anisotropic fully nonlinear equations with nonstandard growth
Sun-Sig Byun, Hongsoo Kim
We establish interior Lipschitz regularity for solutions to anisotropic fully nonlinear equations with nonstandard growth, without imposing any restriction on the gap between the h…
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…
Interior type estimates for degenerate fully nonlinear elliptic equations with data
Sun-Sig Byun, Hongsoo Kim, Jehan Oh
We establish interior type estimates for a class of degenerate fully nonlinear elliptic equations with data. The main idea of our approach is to slide con…
regularity for degenerate fully nonlinear elliptic equations with oblique boundary conditions on domains
Sun-Sig Byun, Hongsoo Kim, Jehan Oh
We provide a sharp estimate up to the boundary for a viscosity solution of a degenerate fully nonlinear elliptic equation with the oblique boundary condition on a d…