Sobolev inequality
theorem about inclusions between Sobolev spaces: if 1≤r≤s<∞ and 1/r − k/n = 1/s − l/n, then Wᵏʳ(ℝⁿ) ⊆ Wˡˢ(ℝⁿ)
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Sobolev inequality
Summary
Sobolev inequality is a theorem[1]. It ranks in the top 8% of theorem entities by monthly Wikipedia readership (691 views/month).[2]
Key Facts
- Sobolev inequality's instance of is recorded as theorem[3].
- Sergei Sobolev is named after Sobolev inequality[4].
- Sobolev inequality is part of list of theorems[5].
- Sobolev inequality's maintained by WikiProject is recorded as WikiProject Mathematics[6].
Body
Definition and Type
Sobolev inequality's instance of is recorded as theorem[3].
Origins
Sergei Sobolev is named after Sobolev inequality[4].
Use and Application
Sobolev inequality is part of list of theorems[5].
Why It Matters
Sobolev inequality ranks in the top 8% of theorem entities by monthly Wikipedia readership (691 views/month).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[7] It is known by 6 alternative names across languages and contexts.[8]