Mappings of finite distortion: Decay of the Jacobian in the plane

Pekka Koskela; Jani Onninen

doi:10.1515/acv.2008.013

Mappings of finite distortion: Decay of the Jacobian in the plane

Pekka Koskela, Jani Onninen

Department of Mathematics

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

8 Scopus citations

Abstract

We establish the optimal degree of integrability for the reciprocal of the Jacobian determinant of a planar mapping of finite, p-integrable distortion.

Original language	English (US)
Pages (from-to)	309-321
Number of pages	13
Journal	Advances in Calculus of Variations
Volume	1
Issue number	3
DOIs	https://doi.org/10.1515/acv.2008.013
State	Published - Oct 2008

Keywords

Jacobian
Mapping of finite distortion

ASJC Scopus subject areas

Analysis
Applied Mathematics

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title = "Mappings of finite distortion: Decay of the Jacobian in the plane",

abstract = "We establish the optimal degree of integrability for the reciprocal of the Jacobian determinant of a planar mapping of finite, p-integrable distortion.",

keywords = "Jacobian, Mapping of finite distortion",

author = "Pekka Koskela and Jani Onninen",

note = "Funding Information: Koskela was supported in part by the Academy of Finland. Onninen by the National Science Foundation grant DMS-0701059.",

year = "2008",

month = oct,

doi = "10.1515/acv.2008.013",

language = "English (US)",

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T2 - Decay of the Jacobian in the plane

AU - Koskela, Pekka

AU - Onninen, Jani

N1 - Funding Information: Koskela was supported in part by the Academy of Finland. Onninen by the National Science Foundation grant DMS-0701059.

PY - 2008/10

Y1 - 2008/10

N2 - We establish the optimal degree of integrability for the reciprocal of the Jacobian determinant of a planar mapping of finite, p-integrable distortion.

AB - We establish the optimal degree of integrability for the reciprocal of the Jacobian determinant of a planar mapping of finite, p-integrable distortion.

KW - Jacobian

KW - Mapping of finite distortion

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VL - 1

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EP - 321

JO - Advances in Calculus of Variations

JF - Advances in Calculus of Variations

IS - 3

ER -

Mappings of finite distortion: Decay of the Jacobian in the plane

Abstract

Keywords

ASJC Scopus subject areas

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