We prove regularity results such as interior Lipschitz regularity and boundary continuity for
the Cauchy–Dirichlet problem associated to a class of parabolic equations inspired by the …

We study the symmetric stochastic p-Stokes system, p∈(1,∞), in a bounded domain. The
results are two-fold: First, we show that in the context of analytically weak solutions, the …

We consider weak solutions (u, π): Ω→ R n× R to stationary p‐Stokes systems of the type−
div a (x, E u)+∇ π+[D u] u= f, div u= 0 in Ω⊂ R n, where the function a (x, ξ) satisfies p …

We consider the evolutionary symmetric $ p $-Laplacian with safety $1 $. By symmetric we
mean that the full gradient of $ p $-Laplacian is replaced by its symmetric part, which causes …

In this paper we obtain the following local Calderón–Zygmundestimates G f∈ L locq (Ω T)⇒
G∇ u∈ L locq (Ω T) for any q≥ 1 of weak solutions for a class of quasilinear parabolic …

In this paper we obtain the following local Lorentz estimates B (| F|)∈ L loc γ, q⇒ B (|∇ u|)∈
L loc γ, q for any γ> 1 and 0< q≤∞ of the weak solutions for a class of quasilinear parabolic …

In Ω ⊂ R n \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}
\usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} …

In this thesis we consider the stochastic p-Laplace and the symmetric p-Stokes system. The
overall aim is to solve the systems, by which we mean that we find numerical values for the …

We prove the local boundedness of weak solutions for the following non-linear second order
parabolic systems:\begin {equation*} u_ {t}-\mathrm {div}\left (\frac {\mathcal {\varphi}' …

In this paper we obtain the local Hölder regularity estimates of the gradient of weak solutions
for the following general non-homogeneous parabolic equations with the logarithmic term in …