A compactness Theorem for functions on Poisson point clouds. (June 2023)

• Record Type: Journal Article
• Authors: Caroccia, Marco
• Is Part Of: Nonlinear analysis. Volume 231(2023)
• Publication Date: 2023-06
• Subjects: Compactness -- Poisson point clouds -- Gamma convergence; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2022.113032
• Languages: English
• ISSNs: 0362-546X

Abstract

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.