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Polypotentials on a Riemannian manifold |
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| Authors: | S. Alhemedan |
| Affiliation: | a Dept. of Mathematics, King Saud University, P.O. Box 22452, 11475, Riyadh, Saudi Arabia b Dept. of Mathematics, King Saud University, P.O. Box 2455, 11451, Riyadh, Saudi Arabia |
| Abstract: | 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. |
| Keywords: | Complete m-potentials Tapered m-potentials |
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