On the weak differentiability of $ucirc f^{-1}$

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F10%3A10050010" target="_blank" >RIV/00216208:11320/10:10050010 - 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

On the weak differentiability of $ucirc f^{-1}$

Original language description

Let $pgeq n-1$ and suppose that $f:Omegatorn$ is a homeomorphism in the Sobolev space $W^{1,p}_{loc}(Omega,rn)$. Further let $uin W^{1,q}_{loc}(Omega)$ where $q=frac{p}{p-(n-1)}$ and for $q}n$ we also assume that $u$ is continuous. Then $ucirc f^{-1}in BV_{loc}(f(Omega))$ and if we moreover assume that $f$ is a mapping of finite distortion, then $ucirc f^{-1}in W^{1,1}_{loc}(f(Omega))$.

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

<a href="/en/project/GP201%2F06%2FP100" target="_blank" >GP201/06/P100: Properties of functions and mappings in Sobolev spaces</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

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

Name of the periodical

Mathematica Scandinavica

ISSN

0025-5521

e-ISSN

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Volume of the periodical

2010

Issue of the periodical within the volume

107

Country of publishing house

DK - DENMARK

Number of pages

11

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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