Summary
A representation formula for the L 2-lower semicontinuous envelope of a quadratic integral of Calculus of Variations is given. Some particular cases are explicited in the details.
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This paper has been supported by G.N.A.F.A. (Gruppo Nazionale per l'Analisi Funzionale e le sue Applicazioni).
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Fusco, N., Moscariello, G. L 2-lower semicontinuity of functionals of quadratic type. Annali di Matematica pura ed applicata 129, 305–326 (1981). https://doi.org/10.1007/BF01762148
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DOI: https://doi.org/10.1007/BF01762148