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• W1497349669 abstract "We introduce a new notion of Almgren's frequency which is adapted to solutions of a sub-Laplacian (harmonic functions) on a Carnot group of arbitrary step $bG$. With this notion we investigate some new functionals associated with the frequency, and obtain monotonicity formulas for the relevant harmonic functions, or for the solutions of a closely connected class of degenerate second order operators of Baouendi type. The results proved in this paper provide some new insight into the deep link existing between the growth properties of the frequency, and the local and global structure of the relevant harmonic functions in these non-elliptic, or subelliptic, settings" @default.
• W1497349669 created "2016-06-24" @default.
• W1497349669 creator A5007893278 @default.
• W1497349669 creator A5056086697 @default.
• W1497349669 date "2012-12-25" @default.
• W1497349669 modified "2023-09-27" @default.
• W1497349669 title "Frequency of Harmonic functions in Carnot groups and for operators of Baouendi type" @default.
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• W1497349669 hasPublicationYear "2012" @default.
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