On the best constant for the Friedrichs-Knapp-Stein inequality in free nilpotent Lie groups of step two and applications to subelliptic PDE (Q883211)
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scientific article; zbMATH DE number 5160938
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the best constant for the Friedrichs-Knapp-Stein inequality in free nilpotent Lie groups of step two and applications to subelliptic PDE |
scientific article; zbMATH DE number 5160938 |
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On the best constant for the Friedrichs-Knapp-Stein inequality in free nilpotent Lie groups of step two and applications to subelliptic PDE (English)
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4 June 2007
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The authors find in the paper the best constant for the Friederichs-Knapp-Stein inequality relative to the free nilpotent group of step two with \(2n\) generators and use the result to prove the second-order differentiability of subelliptic \(p\)-harmonic functions for \(p\) in a suitable interval.
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Subelliptic PDE
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Free nilpotent groups
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second-order differentiability
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subelliptic \(p\)-harmonic functions
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0.8840345
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0.8798683
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0.8634523
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0.86136377
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0.86121124
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0.8605569
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0.85900795
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0.8581734
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