Sun-Sig Byun

activity

20122026

L^{p}

-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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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…

math.AP2024

Global Calderón-Zygmund theory for fractional Laplacian type equations

Sun-Sig Byun, Kyeong Bae Kim, Deepak Kumar

We establish several fine boundary regularity results of weak solutions to non-homogeneous $s$ -fractional Laplacian type equations. In particular, we prove sharp Calderón-Zygmund t…

math.AP2024

$C^{1, α}$ regularity for degenerate fully nonlinear elliptic equations with oblique boundary conditions on $C^{1}$ domains

Sun-Sig Byun, Hongsoo Kim, Jehan Oh

We provide a sharp $C^{1, α}$ estimate up to the boundary for a viscosity solution of a degenerate fully nonlinear elliptic equation with the oblique boundary condition on a $C^{1}$ d…

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

Global Calderón-Zygmund theory for fractional Laplacian type equations

C1,α regularity for degenerate fully nonlinear elliptic equations with oblique boundary conditions on C1 domains

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

$C^{1, α}$ regularity for degenerate fully nonlinear elliptic equations with oblique boundary conditions on $C^{1}$ domains