Lemma 2.4 . [04TU]

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Lemma 2.4.

Let $v$ be any convex function on $\Omega\subset\mathbb{R}^{n}$ with $v|_{\partial\Omega}=0$ . Then

Mv(\Omega)\,|\Omega|\geq c(n)|\min_{\Omega}v|^{n}.