Are there sufficient conditions for a family of functions $F \subset H^s_0(\Omega)$ $(s>0)$ to be relatively compact in $H^s_0(\Omega)$, where $\Omega \subseteq \mathbb{R}^n$ is compact. $n$ is some positive integer.
2026-03-25 22:11:12.1774476672
Compactness criterion on subsets of fractional Sobolev spaces
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