A note on monotonicity and Bochner formulas in Carnot groups (Q6052819)

scientific article; zbMATH DE number 7741861

Language	Label	Description	Also known as
English	A note on monotonicity and Bochner formulas in Carnot groups	scientific article; zbMATH DE number 7741861

Statements

instance of

scholarly article

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title

A note on monotonicity and Bochner formulas in Carnot groups (English)

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author

Nicola Garofalo

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published in

Proceedings of the Royal Society of Edinburgh: Section A Mathematics

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publication date

25 September 2023

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full work available at URL

https://arxiv.org/abs/2204.13073

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zbMATH Keywords

Bochner formulas

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monotonicity formulas

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Almgren-type frequency

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MaRDI profile type

MaRDI publication profile

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cites work

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Variational problems with two phases and their free boundaries

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The structure of the free boundary for lower dimensional obstacle problems

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Non prolongement unique des solutions d'opérateurs somme de carrés. (Unique non extension of solutions of sums of square operators)

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The structure of the singular set in the thin obstacle problem for degenerate parabolic equations

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Monotonicity of generalized frequencies and the strong unique continuation property for fractional parabolic equations

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A negative answer to a one-dimensional symmetry problem in the Heisenberg group

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Q4284699

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Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian

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Some new monotonicity theorems with applications to free boundary problems.

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Gradient estimates for variable coefficient parabolic equations and singular perturbation problems

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Regularity of mean curvature flow of graphs on Lie groups free up to step 2

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Harnack's Inequality for Sum of Squares of Vector Fields Plus a Potential

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Interior Cauchy-Schauder estimates for the heat flow in Carnot-Carathéodory spaces

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Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group \(\mathbb H^1\)

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The sub-elliptic obstacle problem: \(C^{1,\alpha }\) regularity of the free boundary in Carnot groups of step two

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Optimal Regularity and the Free Boundaryin the Parabolic Signorini Problem

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Variational inequalities with lack of ellipticity. Part I: Optimal interior regularity and non-degeneracy of the free boundary

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Q3967952

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A new glance to the Alt-Caffarelli-Friedman monotonicity formula

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Unique continuation for a class of elliptic operators which degenerate on a manifold of arbitrary codimension

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Geometric second derivative estimates in Carnot groups and convexity

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Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation

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Q3834387

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Unique continuation for elliptic operators: A geometric-variational approach

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Some new monotonicity formulas and the singular set in the lower dimensional obstacle problem

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

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Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups

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Spherical Harmonics on the Heisenberg Group

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Hypoelliptic second order differential equations

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Lipschitz continuous viscosity solutions for a class of fully nonlinear equations on Lie groups

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Almost monotonicity formulas for elliptic and parabolic operators with variable coefficients

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On the solvability of homogeneous left-invariant differential operators on the Heisenberg group

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<i>C</i><sup>1, 1</sup> Regularity in semilinear elliptic problems

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Identifiers

zbMATH Open document ID

1522.35537

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arXiv ID

2204.13073

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6052819