We study a nonlinear elliptic equation with measurable nonlinearity in a nonsmooth domain when the righthand side is a measure. A global Calderón-Zygmund type estimate in variable exponent spaces is ...

In this work, we study the convergence of the finite element method when applied to the following parabolic equation: ut = div(|u|γ(x)Δu) + f(x, t), x ∈ Ω ⊂ Rm, t ∈]0, T]. Since the problem may be of ...