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p-harmonic functions on graphs and manifolds |
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| Authors: | Ilkka Holopainen Paolo M Soardi |
| Institution: | (1) Department of Mathematics, University of Helsinki, P.O. Box 4 (Hallituskatu 15), FIN-00014, Finland;(2) Dipartimento di Matematica, Università di Milano, via C. Saldini 50, 20133 Milano, Italy |
| Abstract: | We show that the LiouvilleD p -property is invariant under rough isometries between a Riemannian manifold of bounded geometry and a graph of bounded degree. The first author was supported partly by the EU HCM contract No. CHRX-CT92-0071. This article was processed by the author using the Springer-Verlag TEX P Jourlg macro package 1991. |
| Keywords: | AMS Subject Classifications" target="_blank">AMS Subject Classifications 31C12 31C20 53C20 58G03 94C15 |
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