Homogenization of the Neumann problem in perforated domains: an alternative approach

2The main result of this paper is a compactness theorem for families of functions in the space SBV (Special functions of Bounded Variation) defined on periodically perforated domains P. Our analysis avoids the use of any extension procedure in SBV , weakens the hypotheses on P to the minimal one.nonenoneMarco Barchiesi; Matteo FocardiBarchiesi, Marco; Focardi, Matte