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A result on equiabsolute integrability

Cristina MarcelliAnna Salvadori — 1990

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We prove the equiabsolute integrability of a class of gradients, for functions in W 1 , 1 . The present result appears as the localized version of well-known classical theorems.

On a class of variational integrals over BV varieties

Primo BrandiAnna Salvadori — 1989

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We present here our most recent results ([1def]) about the definition of non-linear Weiertrass-type integrals over BV varieties, possibly discontinuous and not necessarily Sobolev's.

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