Luzin's condition (N) and Sobolev mappings (Q1932679)
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scientific article; zbMATH DE number 6127543
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Luzin's condition (N) and Sobolev mappings |
scientific article; zbMATH DE number 6127543 |
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Luzin's condition (N) and Sobolev mappings (English)
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21 January 2013
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Summary: For the purpose of change of variables in integral, it is important to know how to verify Luzin's condition (N) for Sobolev mappings. We survey some results on this topic sorted according to the method. We discuss the method of absolute continuity, results obtained via degree, and results based on the interplay between integrability and modulus of continuity.
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Luzin's condition (N)
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change of variables in integral
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area formula
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Sobolev mappings
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