Ambrosio, Luigi:
Nuovi risultati sulla semicontinuità inferiore di certi funzionali integrali
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Serie 8 79 (1985), fasc. n.5, p. 82-89, (Italian)
pdf (763 Kb), djvu (781 Kb). | MR 0944376 | Zbl 0636.49003
Sunto
Given an open subset $\Omega$ of $\mathbb{R}^{n}$ and a Borel function $f : \Omega \times \mathbb{R} \times \mathbb{R}^{n} \rightarrow [0,+ \infty [$, conditions on $f$ are given which assure the lower semicontinuity of the functional $\int_{\Omega} f (x,u,Du) \, dx$ with respect to different topologies.
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