Mappings of finite distortion: Discreteness and openness of quasi-light mappings

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F05%3A00206013" target="_blank" >RIV/00216208:11320/05:00206013 - 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

Mappings of finite distortion: Discreteness and openness of quasi-light mappings

Original language description

Let $fin W^{1,n}(Omega,rn)$ be a continuous mapping so that the components of the preimage of each $yin rn$ are compact. We show that $f$ is open and discrete if $|Df(x)|^nle K(x)J_f(x)$ a.e where $K(x)ge 1$ and $K^{n-1}/Phi(log(e+K))in L^1(Omega)$ for a function $Phi$ that satisfies $int_1^{infty}1/Phi(t)dt=infty$ and some technical conditions.

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

Annales de l Institut Henri Poincare - Analyse Non Lineaire

ISSN

0294-1449

e-ISSN

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Volume of the periodical

22

Issue of the periodical within the volume

3

Country of publishing house

FR - FRANCE

Number of pages

12

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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