A note on extremal Mappings of finite distortion

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F05%3A00206018" target="_blank" >RIV/00216208:11320/05:00206018 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

A note on extremal Mappings of finite distortion

Original language description

Let $Omega$ be a convex planar domain and $f_circ in {mathcal F}={mathcal F}(Omega , Omega^prime)$ where $mathcal F$ is a class of $W^{1,1}$ homeomorphisms of finite distortion. We show that the minimization problem begin{equation} min_{fin {mathcal F}} int_Omega {mathbb K}, (x,f), dx , ; ; ; f=f_circ mbox{ on } partial Omega end{equation} has a unique solution and that the extremal map is a ${mathscr C}^infty$-diffeomorphism whose inverse is harmonic in $Omega^prime$.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2005

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematical Research Letters

ISSN

1073-2780

e-ISSN

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Volume of the periodical

12

Issue of the periodical within the volume

2-3

Country of publishing house

US - UNITED STATES

Number of pages

8

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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