Sobolev Embedding Theorem for Irregular Domains and Discontinuity of p -> p*(p,n)
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10335167" target="_blank" >RIV/00216208:11320/16:10335167 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.4171/ZAA/1558" target="_blank" >http://dx.doi.org/10.4171/ZAA/1558</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4171/ZAA/1558" target="_blank" >10.4171/ZAA/1558</a>
Alternative languages
Result language
angličtina
Original language name
Sobolev Embedding Theorem for Irregular Domains and Discontinuity of p -> p*(p,n)
Original language description
For a domain Ω we denote q as the supremum of all possible indices guaranteeing the embedding of the Sobolev space W^{1,p}(Ω) into the Lebesgue space L^q(Ω). We construct a domain Ω such that q is discontinuous.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/LL1203" target="_blank" >LL1203: 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>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Zeitschrift für Analysis und ihre Anwendung
ISSN
0232-2064
e-ISSN
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Volume of the periodical
35
Issue of the periodical within the volume
2
Country of publishing house
DE - GERMANY
Number of pages
14
Pages from-to
139-152
UT code for WoS article
000388453600002
EID of the result in the Scopus database
2-s2.0-84963800588