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…