Helia Serrano, University of Castilla-La Mancha, ETSI Industriales, Av. Camilo José Cela s/n, 13005 Ciudad Real, Spain, e-mail: heliac.pereira@uclm.es
Abstract: 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.
Keywords: $\Gamma$-convergence, oscillatory behaviour, Young measure, conjugate functional
Classification (MSC 2010): 35B27, 35J20
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