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Cagnetti, F.; Scardia, L. (2011)
Publisher: Elsevier
Journal: Journal de Mathématiques Pures et Appliquées
Languages: English
Types: Article
Subjects: QA, Applied Mathematics, Mathematics(all)

Classified by OpenAIRE into

arxiv: Mathematics::Analysis of PDEs
The aim of this paper is to prove the existence of extension operators for SBV functions from periodically perforated domains. This result will be the fundamental tool to prove the compactness in a non coercive homogenization problem.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

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    • [11] Dal Maso G.: An introduction to -convergence. Birkhauser, Boston, 1993.
    • [12] Dal Maso G., Morel J.M., Solimini S.: A variational method in image segmentation: Existence and approximation results. Acta Mathematica, 168 (1992), 89{151.
    • [13] Dal Maso G., Musina R.: An approach to the thin obstacle problem for variational functinals depending on vector valued functions. Comm. Partial Di erential Equations, 14/12 (1989), 1717{1743.
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    • [15] Focardi M., Gelli M.S.: Asymptotic analysis of Mumford-Shah type energies in periodically perforated domains. Inter. Free Boundaries, to appear.
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