On some inequalities of Bourgain, Brezis, Maz'ya, and Shaposhnikova related to \(L^1\) vector fields (Q974012)
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scientific article; zbMATH DE number 5712617
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some inequalities of Bourgain, Brezis, Maz'ya, and Shaposhnikova related to \(L^1\) vector fields |
scientific article; zbMATH DE number 5712617 |
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On some inequalities of Bourgain, Brezis, Maz'ya, and Shaposhnikova related to \(L^1\) vector fields (English)
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26 May 2010
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The author presents an elementary property for fundamental solutions of a biharmonic operator in two dimensions. This property unifies in two dimensions the Bourgain-Brezis and Maz'ya approaches concerning the existence of a solution \(Y\) of the equation \(\text{div\,}Y= f\).
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Bourgain-Brezis approach
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Maz'ya approach
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biharmonic operator
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0.8719233
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0.86531115
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0.8643797
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0.8584401
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0.8553042
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