Calculus of Variations and Geometric Measure Theory
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A. Pinamonti - T. Adamowicz - A. Kijowski - B. Warhurst

Variational approach to the asymptotic mean-value property for the p-Laplacian on Carnot groups

created by pinamonti on 27 Mar 2020
modified on 28 Mar 2020

[BibTeX]

Accepted Paper

Inserted: 27 mar 2020
Last Updated: 28 mar 2020

Journal: Nonlinear Analysis
Year: 2020

Abstract:

Let $1\leq p\leq \infty$. We provide an asymptotic characterization of continuous viscosity solutions $u$ of the normalized $p$-Laplacian $\Delta_{p\,\mathbb{G}}^Nu=0$ in any Carnot group $\mathbb{G}$.


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