Properties of a frequency of Almgren type for harmonic functions in Carnot groups

DOI10.1007/s00526-015-0862-xzbMath1327.22010arXiv1212.6061OpenAlexW2042090675MaRDI QIDQ745589

Nicola Garofalo, Kevin Rotz

Publication date: 14 October 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6061

zbMATH Keywords

Heisenberg groupdiscrepancyDirichlet integralCarnot groupBaouendi operatorfrequency function of Almgrenheight of a function

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) A priori estimates in context of PDEs (35B45) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (12)

A new glance to the Alt-Caffarelli-Friedman monotonicity formula ⋮ Sharp vanishing order of solutions to stationary Schrödinger equations on Carnot groups of arbitrary step ⋮ The homogeneous polynomial solutions for the Grushin operator ⋮ Carleman estimates for Baouendi–Grushin operators with applications to quantitative uniqueness and strong unique continuation ⋮ A note on monotonicity and Bochner formulas in Carnot groups ⋮ Strong unique continuation property for fourth order Baouendi-Grushin type subelliptic operators with strongly singular potential ⋮ Carleman estimates for sub-Laplacians on Carnot groups ⋮ The polynomial growth solutions to some sub-elliptic equations on the Heisenberg group ⋮ Carleman estimates for a class of variable coefficient degenerate elliptic operators with applications to unique continuation ⋮ Structure and regularity of the singular set in the obstacle problem for the fractional Laplacian ⋮ On the strong unique continuation property of a degenerate elliptic operator with Hardy-type potential ⋮ Polynomial and horizontally polynomial functions on Lie groups

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