Geodesic
Homogenization of quadratic complementary energies: a duality example
Mathematica Bohemica, Tome 136 (2011) no. 2, pp. 165-173.

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We study an example in two dimensions of a sequence of quadratic functionals whose limit energy density, in the sense of $\Gamma $-convergence, may be characterized as the dual function of the limit energy density of the sequence of their dual functionals. In this special case, $\Gamma $-convergence is indeed stable under the dual operator. If we perturb such quadratic functionals with linear terms this statement is no longer true.
DOI : 10.21136/MB.2011.141579
Classification : 35B27, 35J20
Keywords: $\Gamma $-convergence; oscillatory behaviour; Young measure; conjugate functional 
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Serrano, Hélia. Homogenization of quadratic complementary energies: a duality example. Mathematica Bohemica, Tome 136 (2011) no. 2, pp. 165-173. doi : 10.21136/MB.2011.141579. http://geodesic.mathdoc.fr/articles/10.21136/MB.2011.141579/

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