The embedding $W^{2,2} (\Omega)\hookrightarrow L^\infty(\Omega)$

106 Views Asked by At

Let $\Omega \subset \mathbb{R}^n$ be an open bounded set with regular boundary.

Under which condition on $n$ is the embedding $W^{2,2}(\Omega) \hookrightarrow L^\infty(\Omega)$ continuous?