Slow mappings of finite distortion

Jani Onninen; Pekka Pankka

doi:10.1007/s00208-011-0751-3

Slow mappings of finite distortion

Jani Onninen, Pekka Pankka

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We examine mappings of finite distortion from Euclidean spaces into Riemannian manifolds. We use integral type isoperimetric inequalities to obtain Liouville type growth results under mild assumptions on the distortion of the mappings and the geometry of the manifolds.

Original language	English (US)
Pages (from-to)	685-705
Number of pages	21
Journal	Mathematische Annalen
Volume	354
Issue number	2
DOIs	https://doi.org/10.1007/s00208-011-0751-3
State	Published - Oct 2012

ASJC Scopus subject areas

General Mathematics

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title = "Slow mappings of finite distortion",

abstract = "We examine mappings of finite distortion from Euclidean spaces into Riemannian manifolds. We use integral type isoperimetric inequalities to obtain Liouville type growth results under mild assumptions on the distortion of the mappings and the geometry of the manifolds.",

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Slow mappings of finite distortion

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