DanskDTU.dkIndexContactPhone bookDTU AlumniPortalen
English > Research > Publications
Applied functional analysis
Dynamical systems
Discrete mathematics
Geometry
Publications
ECMI
DTU research
Title: p-Capacity and p-Hyperbolicity of Submanifolds
Type: Journal articleJournal article
Participant(s):
Forfatter:  Holopainen, Ilkka
University of Helsinki, Finland, Department of Mathematics

Author:  Markvorsen, Steen (Cwisno: 1591)
Technical University of Denmark
Email:

Forfatter:  Palmer, Vicente
Universitat Jaume I, Castellon, Spain, Department of Mathematics
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.
Published: in journal: Revista Matematica Iberoamericana (ISSN: 0213-2230), vol: 25, issue: 2, pages: 709-738, 2009
File(s):
See the publication in DTU Orbit See the publication in DTU Orbit

Top
Matematiktorvet303 BDK-2800 Kgs. LyngbyTel +45 4525 3031VAT 63393010EAN 5798000428515
Cookies