Sobolev embedding theorem for anisotropically irregular domains (Q656344)
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scientific article; zbMATH DE number 5998412
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sobolev embedding theorem for anisotropically irregular domains |
scientific article; zbMATH DE number 5998412 |
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Sobolev embedding theorem for anisotropically irregular domains (English)
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17 January 2012
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The paper deals with Sobolev embeddings \[ W^s_p (G) \subset L_q (G), \quad s \in \mathbb{N}, \quad 1<p<q<\infty, \] for a general class of domains \(G\) in \(\mathbb{R}^n\) admitting rotations of flexible horns. The author formulates in Theorem 2 sufficient conditions for \(s,p,q\) and characteristics of the domain \(G\) ensuring the above Sobolev embedding.
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Sobolev spaces
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embedding theorems
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0.98635375
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0.9863355
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0.9512404
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0.93715334
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0.9344204
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0.92111695
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0.9206244
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