Farroni, Fernando and Murat, François:
A Remark on the Stability of the Determinant in Bidimensional Homogenization
Bollettino dell'Unione Matematica Italiana Serie 9 3 (2010), fasc. n.1, p. 209-215, (English)
pdf (264 Kb), djvu (64 Kb). | MR 2605920 | Zbl 1194.35447
Sunto
For conductivity problems in dimension N = 2, we prove a variant of a classical result: if a sequence $A^{\epsilon}$ of matrices H-converges to $A^{0}$ (or in other terms if $A^{\epsilon}$ converges to $A^{0}$ in the sense of homogenization) and if $det \, A^{\epsilon}$ tends to $c^{0}$ a.e., then one has $det \, A^{0} = c^{0}$.
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