Calculus of Variations and Geometric Measure Theory

M. Caroccia

A Compactness Theorem for functions on Poisson point clouds

created by caroccia on 11 May 2022
modified on 19 Jun 2023

[BibTeX]

Published Paper

Inserted: 11 may 2022
Last Updated: 19 jun 2023

Journal: Nonlinear Analysis
Volume: 231
Year: 2023
Doi: https://doi.org/10.1016/j.na.2022.113032

Abstract:

In this work we show a compactness Theorem for discrete functions on Poisson point clouds. We consider sequences with equibounded non-local $p$-Dirichlet energy: the novelty consists in the intermediate-interaction regime at which the non-local energy is computed.


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