In this work we show a compactness Theorem for discrete functions on Poisson point clouds. We consider sequences with equibounded non-local -Dirichlet energy: the novelty consists in the intermediate-interaction regime at which the non-local energy is computed.
A compactness Theorem for functions on Poisson point clouds / Caroccia Marco. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - ELETTRONICO. - 231:(2022), pp. 113032.1-113032.18. [10.1016/j.na.2022.113032]
A compactness Theorem for functions on Poisson point clouds
Caroccia Marco
2022
Abstract
In this work we show a compactness Theorem for discrete functions on Poisson point clouds. We consider sequences with equibounded non-local -Dirichlet energy: the novelty consists in the intermediate-interaction regime at which the non-local energy is computed.
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