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Sobolev inequality

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Also known as Sobolev embedding theorem

theorem about inclusions between Sobolev spaces: if 1≤r≤s<∞ and 1/r − k/n = 1/s − l/n, then Wᵏʳ(ℝⁿ) ⊆ Wˡˢ(ℝⁿ)

In the Vinony graph

Vinony's link graph records 127 inbound references to Sobolev inequality, and connects out to Springer Science+Business Media, compact operator and Hölder condition.

It is catalogued under topics including Compactness theorems, Inequalities (mathematics) and Sobolev spaces.

Vinony links it to 6 Wikipedia language editions.

Wikidata facts

Instance of
theorem
Named after
Sergei Sobolev
Image
Sobolev embedding theorem (Morrey case).svg
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maintained by WikiProject
WikiProject Mathematics
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