activity
20172021
most citedNonlinear gradient estimates for elliptic double obstacle problems with measure data

7 citations · 13 across the 3 of their papers we have counts for

collaborators

6 papers

math.AP2021★ 1 cited

Marcinkiewicz regularity for singular parabolic -Laplace type equations with measure data

Jung-Tae Park

We consider quasilinear parabolic equations with measurable coefficients when the right-hand side is a signed Radon measure with finite total mass, having -Laplace type: $$u_t -…

math.AP2020★ 5 cited

Regularity estimates for singular parabolic measure data problems with sharp growth

Jung-Tae Park, Pilsoo Shin

We prove global gradient estimates for parabolic -Laplace type equations with measure data, whose model is $$u_t - \textrm{div} \left(|Du|^{p-2} Du\right) = μ\quad \textrm{in} \…

math.AP2019★ 7 cited

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…

math.AP2019

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…

math.AP2018

End point gradient estimates for quasilinear parabolic equations with variable exponent growth on nonsmooth domains

Karthik Adimurthi, Sun-Sig Byun, Jung-Tae Park

In this paper, we study quasilinear parabolic equations with the nonlinearity structure modeled after the -Laplacian on nonsmooth domains. The main goal is to obtain end po…

math.AP2017

Sharp gradient estimates for quasilinear elliptic equations with growth on nonsmooth domains

Karthik Adimurthi, Sun-Sig Byun, Jung-Tae Park

In this paper, we study quasilinear elliptic equations with the nonlinearity modelled after the -Laplacian on nonsmooth domains and obtain sharp Calderón-Zygmund type estimat…