Global estimates for the Jacobians of orientation preserving mappings

T. Iwaniec; Shusen Ding

doi:10.1016/j.camwa.2005.04.014

Global estimates for the Jacobians of orientation preserving mappings

T. Iwaniec, Shusen Ding

Department of Mathematics

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

2 Scopus citations

Abstract

In this paper, we establish some global weighted integral estimates for the Jacobians J (x, f ) of an orientation-preserving mapping f = (f¹, f², , fⁿ) : Ω → ℝⁿ of the Sobolev class W^1,n(Ω, ℝⁿ) in John domains and L^φ(μ)-domains.

Original language	English (US)
Pages (from-to)	707-718
Number of pages	12
Journal	Computers and Mathematics with Applications
Volume	50
Issue number	5-6
DOIs	https://doi.org/10.1016/j.camwa.2005.04.014
State	Published - Sep 2005

Keywords

Jacobians
John domains
Orientation-preserving mappings

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/j.camwa.2005.04.014

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title = "Global estimates for the Jacobians of orientation preserving mappings",

abstract = "In this paper, we establish some global weighted integral estimates for the Jacobians J (x, f ) of an orientation-preserving mapping f = (f1, f2, , fn) : Ω → ℝn of the Sobolev class W1,n(Ω, ℝn) in John domains and Lφ(μ)-domains.",

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AU - Iwaniec, T.

AU - Ding, Shusen

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N2 - In this paper, we establish some global weighted integral estimates for the Jacobians J (x, f ) of an orientation-preserving mapping f = (f1, f2, , fn) : Ω → ℝn of the Sobolev class W1,n(Ω, ℝn) in John domains and Lφ(μ)-domains.

AB - In this paper, we establish some global weighted integral estimates for the Jacobians J (x, f ) of an orientation-preserving mapping f = (f1, f2, , fn) : Ω → ℝn of the Sobolev class W1,n(Ω, ℝn) in John domains and Lφ(μ)-domains.

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KW - John domains

KW - Orientation-preserving mappings

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M3 - Article

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EP - 718

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 5-6

ER -

Global estimates for the Jacobians of orientation preserving mappings

Abstract

Keywords

ASJC Scopus subject areas

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