Extremal functions for the Trudinger-Moser inequality in 2 dimensions (Q1195938)
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scientific article; zbMATH DE number 86164
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extremal functions for the Trudinger-Moser inequality in 2 dimensions |
scientific article; zbMATH DE number 86164 |
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Extremal functions for the Trudinger-Moser inequality in 2 dimensions (English)
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11 January 1993
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It is proved that the constant, entering the Trudinger-Moser inequality, is attained as a supremum on an arbitrary 2-dimensional bounded domain. In the case where the domain is a disk this result is already known. The main tool in the author's approach is a new functional isometric inequality valid on each given domain.
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maximization
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compactness
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isoperimetric inequality
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Trudinger-Moser inequality
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0.9784877
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0.9779059
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0.9534097
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0.95257854
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0.95150113
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0.95073825
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0.9504407
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