p-Capacity and p-hyperbolicity of submanifolds

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dc.creatorHolopainen, Ilkka
dc.creatorMarkvorsen, Steen
dc.creatorPalmer, Vicente
dc.date2006-10-31
dc.date.accessioned2026-07-07T07:29:41Z
dc.date.available2026-07-07T07:29:41Z
dc.descriptionWe use drifted Brownian motion in warped product model spaces as comparison constructions to show $p$-hyperbolicity of a large class of submanifolds for $p\ge 2$. 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.identifierhttps://arxiv.org/abs/math/0610979
dc.identifierhttp://arxiv.org/abs/math/0610979
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118206
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53C40, 31C12 (Primary) 53C21, 31C45, 60J65 (Secondary)
dc.titlep-Capacity and p-hyperbolicity of submanifolds
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