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Polypotentials on a Riemannian manifold
Journal article   Peer reviewed

Polypotentials on a Riemannian manifold

S. Alhemedan and M. Damlakhi
Journal of mathematical analysis and applications, Vol.370(2), pp.364-372
10/2010
DOI: https://doi.org/10.1016/j.jmaa.2010.04.079

Abstract

Complete m-potentials Tapered m-potentials
Polyharmonic functions are considered on open sets in a Riemannian manifold R and their potential-theoretic properties are studied using the notion of complete m-potentials. Also one obtains here some characterizations of domains in R on which such complete m-potentials exist.

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