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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)

Wikidata facts

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