Isoparametric foliations and the Pompeiu property

A bounded domain $ \Omega $ in a Riemannian manifold $ M $ is said to have the Pompeiu property if the only continuous function which integrates to zero on $ \Omega $ and on all its congruent images is the zero function. In some respects, the Pompeiu property can be viewed as an overdetermined probl...

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Bibliographic Details
Main Authors: Luigi Provenzano, Alessandro Savo
Format: Article
Language:English
Published: AIMS Press 2023-05-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mine.202303110.3934/mbe.2022310