34 citations · 107 across the 46 of their papers we have counts for
5 papers · 1 filter
Nonlinear gradient estimates for elliptic double obstacle problems with measure data
Sun-Sig Byun, Yumi Cho, Jung-Tae Park
We study quasilinear elliptic double obstacle problems with a variable exponent growth when the right-hand side is a measure. A global Calderón-Zygmund estimate for the gradient of…
Asymptotically regular operators in generalized Morrey spaces
Sun-Sig Byun, Lubomira Softova
We obtain Calderón-Zygmund type estimates in generalized Morrey spaces for nonlinear equations of -Laplacian type. Our result is obtained under minimal regularity assumptions bo…
Global regularity for degenerate/singular parabolic equations involving measure data
Sun-Sig Byun, Jung-Tae Park, Pilsoo Shin
We consider degenerate and singular parabolic equations with -Laplacian structure in bounded nonsmooth domains when the right-hand side is a signed Radon measure with finite tot…
Global estimates of Generalized Non-Newtonian Stokes systems on non-smooth domains
Sun-Sig Byun, Namkyeong Cho
We study a generalized Stokes system with Orlicz growth which is nonstandard in a non-smooth domain. Our purpose is to derive a Calderon-Zygmund type estimate of the gradient of a…
An existence result for nonhomogeneous quasilinear parabolic equations beyond the duality pairing
Karthik Adimurthi, Sun-Sig Byun, Wontae Kim
In this paper, we prove existence of \emph{very weak solutions} to nonhomogeneous quasilinear parabolic equations beyond the duality pairing. The main ingredients are a priori esit…