$\Gamma$-convergence of constrained Dirichlet functionals
Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 2, pp. 339-351.

Voir la notice de l'article dans Biblioteca Digitale Italiana di Matematica

Dato $\Omega\subset \mathbb{R}^{n}$ aperto, limitato e connesso, con frontiera Lipschitziana e volume $|\Omega|$, si prova che la successione $\mathcal{F}_{k}$ di funzionali di Dirichlet definiti in $H^{1}(\Omega; \mathbb{R}^{d})$, con vincoli di volume $v^{k}$ su $m\geq2$ insiemi di livello prescritti, tali che $\sum_{i=1}^{m}v_{i}^{k} |\Omega|$ per ogni $k$, $\Gamma$-converge, quando $v^{k}\rightarrow v$ con $\sum_{i=1}^{m}v_{i}^{k}=|\Omega|$, al quadrato della variazione totale in $BV(V; \mathbb{R}^{d})$, con vincoli di volume $v$ sui medesimi insiemi di livello. 
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     title = {$\Gamma$-convergence of constrained {Dirichlet} functionals},
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Leonardi, Gian Paolo. $\Gamma$-convergence of constrained Dirichlet functionals. Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 2, pp. 339-351. https://geodesic-test.mathdoc.fr/item/BUMI_2003_8_6B_2_a4/

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