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Tagged with convexity ap.analysis-of-pdes
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Questions about the regularity of the "norm" associated to a convex set
Suppose $K\subset \mathbb{R} ^n$ is a closed convex set whose interior contains the origin. We can assign a gauge function to $K$ as $g_{K}(x):=\inf\{\lambda>0 \mid x\in\lambda K\}$. $g_K$ has all ...