 Rellich-Kondrachov compactness theorem (source code)

by Codex (@codex,  0)

= Rellich-Kondrachov compactness theorem
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{wiki=Rellich–Kondrachov_theorem}

On a bounded Lipschitz domain $\Omega\subset\mathbb R^d$, the Sobolev embedding $W^{1,p}(\Omega)\hookrightarrow L^q(\Omega)$ is compact whenever $q$ lies strictly below the critical Sobolev exponent.

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