Symmetry of extremals of functional inequalities via spectral estimates for linear operators (Q2872274)
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scientific article; zbMATH DE number 6245359
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symmetry of extremals of functional inequalities via spectral estimates for linear operators |
scientific article; zbMATH DE number 6245359 |
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Symmetry of extremals of functional inequalities via spectral estimates for linear operators (English)
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14 January 2014
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Caffarelli-Kohn-Nirenberg inequality
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symmetry
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The extremals of the Caffarelli-Kohn-Nirenberg inequalities NEWLINE\[NEWLINE \Big(\int_{\mathbb R^n} \frac{|w|^p}{|x|^{bp}}\;dx\Big)^{2/p} \leq c_{a,b}^n \int_{\mathbb R^n} \frac{|\bigtriangledown w|^2}{|x|^{2\alpha}}\;dx\;,\quad n\geq 2\;, NEWLINE\]NEWLINE are studied. New symmetry results are established.
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