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Pré-Publication, Document De Travail Année : 2019

$\Gamma$-convergence of nonconvex integrals defined on Sobolev functions and vector measures

Résumé

We study the Γ-convergence of nonconvex integral functionals defined on the product space of Sobolev functions and vector measures. We prove an integral representation result of the Γ-limit by assuming abstract conditions on the behavior of minimization problems on small balls associated with the integral functionals. We apply the result to prove new relaxation and homogenization theorems with additional vector measure variable.
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Dates et versions

hal-02296036 , version 1 (24-09-2019)

Identifiants

  • HAL Id : hal-02296036 , version 1

Citer

Omar Anza Hafsa, Jean Philippe Mandallena, Hamdi Zorgati. $\Gamma$-convergence of nonconvex integrals defined on Sobolev functions and vector measures. 2019. ⟨hal-02296036⟩

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