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Questions on the calculus of variations, which deals with the optimization of functionals mostly defined on infinite dimensional spaces.

3 votes
1 answer
717 views

Lower semicontinuous and convex envelope

L.Ambrosio, in paper [1] writes: Let $g:\mathbb{R}\times\mathbb{R}^n\rightarrow\mathbb{R}$ be a function (...) for every $s\in\mathbb{R}$, $z\in\mathbb{R}^n$; we denote, with a slight abuse of notati …