The 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.
Homogenization of the Neumann problem in perforated domains: an alternative approach / Barchiesi, Marco; Matteo, Focardi. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 42:(2011), pp. 257-288. [10.1007/s00526-010-0387-2]
Homogenization of the Neumann problem in perforated domains: an alternative approach
BARCHIESI, MARCO;
2011
Abstract
The 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.File in questo prodotto:
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