This paper studies a new gradient regularity in Lorentz spaces for solutions to a class of
quasilinear divergence form elliptic equations with nonhomogeneous Dirichlet boundary …

The aim of this paper is to develop the regularity theory for a weak solution to a class of
quasilinear nonhomogeneous elliptic equations, whose prototype is the following mixed …

We derive global gradient estimates for W^ 1, p _0 (Ω) W 0 1, p (Ω)-weak solutions to
quasilinear elliptic equations of the form div\, a (x, u, Du)= div\,(| F|^ p-2 F) div a (x, u, D u) …

We develop a global Calderón-Zygmund estimate for the gradients of renormalized
solutions to the general nonlinear singular elliptic equations− div A (x, u, D u)= μ on a …

Global weighted Lp-estimates are obtained for the gradient of solutions to a class of linear
singular, degenerate elliptic Dirichlet boundary value problems over a bounded non-smooth …

In this paper, we prove the generalized Morrey estimates for the gradient of weak solutions
to a class of nonlinear elliptic equations in a very general irregular domain. The nonlinearity …

We provide an optimal global Calderón-Zygmund theory for quasilinear elliptic equations of
a very general form with Orlicz growth on bounded nonsmooth domains under minimal …

We study regularity for solutions of quasilinear elliptic equations of the form div A (x, u,∇ u)=
div F in bounded domains in R n. The vector field A is assumed to be continuous in u, and its …

This paper studies regularity estimates in Lebesgue spaces for gradients of weak solutions
of a class of general quasilinear equations of p-Laplacian type in bounded domains with …

We study general parabolic equations of the form u_t= div\, A (x, t, u, D u)+ div\,(| F|^ p-2 F)+ f
ut= div A (x, t, u, D u)+ div (| F| p-2 F)+ f whose principal part depends on the solution itself …