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George
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Reference for Rellich Kondrachov theorem on bounded domains and spaces with finite measure

I read at the top of the page $580$ of this paper that the imbedding $W^{1,2}(\Gamma,d\mu) \hookrightarrow L^2(\Gamma,d\mu)$ is compact for a bounded domain $\Gamma \subset \mathbb{R}^n$ and a measure $\mu$ as defined in the second paragraph of the section $2$. I would like a reference for this result.

Thanks in advance!

George
  • 435
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  • 8