Hongsoo Kim

collaborators

3 papers

math.AP2025

ABP estimate and Harnack inequality for a class of degenerate fully nonlinear pseudo- $p$ -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- $p$ -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.AP2024

Interior $W^{2, δ}$ type estimates for degenerate fully nonlinear elliptic equations with $L^{n}$ data

Sun-Sig Byun, Hongsoo Kim, Jehan Oh

We establish interior $W^{2, δ}$ type estimates for a class of degenerate fully nonlinear elliptic equations with $L^{n}$ data. The main idea of our approach is to slide $C^{1, α}$ con…

ABP estimate and Harnack inequality for a class of degenerate fully nonlinear pseudo-p-Laplacian equations

Lipschitz regularity for anisotropic fully nonlinear equations with nonstandard growth

Interior W2,δ type estimates for degenerate fully nonlinear elliptic equations with Ln data

ABP estimate and Harnack inequality for a class of degenerate fully nonlinear pseudo- $p$ -Laplacian equations

Interior $W^{2, δ}$ type estimates for degenerate fully nonlinear elliptic equations with $L^{n}$ data