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p-Capacity and p-hyperbolicity of submanifolds
dc.contributor.author | Holopainen, Ilkka | |
dc.contributor.author | Markvorsen, Steen | |
dc.contributor.author | Palmer Andreu, Vicente | |
dc.date.accessioned | 2011-06-06T08:26:00Z | |
dc.date.available | 2011-06-06T08:26:00Z | |
dc.date.issued | 2009 | |
dc.identifier.citation | HOLOPAINEN, Ilkka, et al. $ p $-Capacity and $ p $-Hyperbolicity of Submanifolds. Revista Matemática Iberoamericana, 2009, vol. 25, no 2, p. 709-738. | |
dc.identifier.issn | 0213-2230 | |
dc.identifier.uri | http://hdl.handle.net/10234/23011 | |
dc.description.abstract | We use explicit solutions to a drifted Laplace equation in warped product model spaces as comparison constructions to show $p$-hyperbolicity of a large class of submanifolds for p>2. The condition for $p$-hyperbolicity is expressed in terms of upper support functions for the radial sectional curvatures of the ambient space and for the radial convexity of the submanifold. In the process of showing $p$-hyperbolicity we also obtain explicit lower bounds on the $p$-capacity of finite annular domains of the submanifolds in terms of the drifted $2$-capacity of the corresponding annuli in the respective comparison spaces | |
dc.format.extent | 28 p. | |
dc.language.iso | eng | |
dc.publisher | Universidad Autónoma de Madrid. Departamento de Matemáticas | |
dc.relation.isFormatOf | Versió pre-print del document publicat a: http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.rmi/1255440072 | |
dc.relation.isPartOf | Revista matemàtica iberoamericana, 2009, v. 25, n. 2, | |
dc.rights | © Universidad Autónoma de Madrid. Departamento de Matemáticas | |
dc.rights | “Copyright. By submitting a manuscript, authors agree that, once the paper is accepted for publication, copyright is transferred to the publisher. The publisher's copyright covers the exclusive right to reproduce and distribute the article by any means. Authors, however, retain the right to have the submitted manuscript (preprint) available on the author's own homepage and on public non-commercial servers.” | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Submanifolds | |
dc.subject | Transience | |
dc.subject | p-Laplacian | |
dc.subject | Hyperbolicity | |
dc.subject | Parabolicity | |
dc.subject | Capacity | |
dc.subject | Isoperimetric | |
dc.subject | Inequality | |
dc.subject | Comparison theory | |
dc.subject.lcsh | Manifolds (Mathematics) | |
dc.subject.lcsh | Laplacian operator | |
dc.subject.other | Varietats (Matemàtica) | |
dc.subject.other | Laplacià | |
dc.title | p-Capacity and p-hyperbolicity of submanifolds | |
dc.type | info:eu-repo/semantics/article | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
dc.relation.publisherVersion | https://www.mv.helsinki.fi/home/iholopai/pLapMod16.pdf | |
dc.type.version | info:eu-repo/semantics/sumittedVersion |
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