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On the regularity of subelliptic \(p\)-harmonic functions in Carnot groups - MaRDI portal

On the regularity of subelliptic \(p\)-harmonic functions in Carnot groups (Q938739)

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scientific article; zbMATH DE number 5316902
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English
On the regularity of subelliptic \(p\)-harmonic functions in Carnot groups
scientific article; zbMATH DE number 5316902

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    On the regularity of subelliptic \(p\)-harmonic functions in Carnot groups (English)
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    27 August 2008
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    The author proves results concerning the second order horizontal differentiability and the \(C^{1,\alpha}\) regularity for harmonic functions relative to the sub-elliptic \(p\)-Laplacian on a Carnot group.
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    sub-elliptic operators
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    nonlinear degenerate elliptic operators
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    regularity
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    second order horizontal differentiability
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