For $ \alpha \in (0,1) $, $$ C^1(\bar \Omega) \subseteq C^\alpha (\bar \Omega) $$ holds for $ \Omega \subseteq \mathbb{R}^2 $ with $ \partial \Omega $ Lipschitz? Could anyone recommend some reference? Thanks in advance!
2026-03-29 11:44:35.1774784675
$ C^1(\bar \Omega) \subseteq C^\alpha (\bar \Omega) $ holds for $ \Omega \subseteq \mathbb{R}^2 $ with $ \partial \Omega $ Lipschitz?
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