Integral representation and relaxation for Junctionals defined on measures
Ennio De Giorgi, Luigi Ambrosio, Giuseppe Buttazzo (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Given a separable metric locally compact space , and a positive finite non-atomic measure on , we study the integral representation on the space of measures with bounded variation of the lower semicontinuous envelope of the functional with respect to the weak convergence of measures.