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

collaborators

Showing 2017Show all

3 papers · 1 filter

math.AP2017★ 8 cited

Sharp gradient estimates for quasilinear elliptic equations with $p (x)$ 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 $p (x)$ -Laplacian on nonsmooth domains and obtain sharp Calderón-Zygmund type estimat…

math.AP2017

Global Sobolev regularity for general elliptic equations of $p$ -Laplacian type

Sun-Sig Byun, Dian K. Palagachev, Pilsoo Shin

We derive global gradient estimates for $W_{0}^{1, p} (Ω)$ -weak solutions to quasilinear elliptic equations of the form $$ \mathrm{div\,}\mathbf{a}(x,u,Du)=\mathrm{div\,}(|F|^{p-2}F) $…

math.AP2017

Nondivergence elliptic and parabolic problems with irregular obstacles

Sun-Sig Byun, Ki-Ahm Lee, Jehan Oh +1

We prove the natural weighted Calderón and Zygmund estimates for solutions to elliptic and parabolic obstacle problems in nondivergence form with discontinuous coefficients and irr…

Sharp gradient estimates for quasilinear elliptic equations with p(x) growth on nonsmooth domains

Global Sobolev regularity for general elliptic equations of p-Laplacian type

Nondivergence elliptic and parabolic problems with irregular obstacles

Sharp gradient estimates for quasilinear elliptic equations with $p (x)$ growth on nonsmooth domains

Global Sobolev regularity for general elliptic equations of $p$ -Laplacian type