activity
20122026
most citedWeighted -estimates for elliptic equations with measurable coefficients in nonsmooth domains

34 citations · 107 across the 46 of their papers we have counts for

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5 papers · 1 filter

math.AP2025

Regularity for fully nonlinear elliptic equations in generalized Orlicz spaces

Sun-Sig Byun, Jeongmin Han, Mikyoung Lee

In this paper, we establish an optimal global Calderón-Zygmund type estimate for the viscosity solution to the Dirichlet boundary problem of fully nonlinear elliptic equations with…

math.AP2025

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…

math.AP2025

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…

math.AP2025

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 , (), and a…

math.AP2025

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…