ON SINGULAR MOSER-TRUDINGER INEQUALITY FOR EMBEDDING INTO EXPONENTIAL AND MULTIPLE EXPONENTIAL SPACES
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10189509" target="_blank" >RIV/00216208:11320/13:10189509 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
ON SINGULAR MOSER-TRUDINGER INEQUALITY FOR EMBEDDING INTO EXPONENTIAL AND MULTIPLE EXPONENTIAL SPACES
Original language description
Let Omega subset of R-n, n }= 2, be a bounded domain containing the origin and let alpha < n - 1. We prove the Moser-Trudinger inequality with a singular weight 1/vertical bar x vertical bar(beta), beta epsilon (0,n), for the embedding of the space W0L(n) log L-alpha into the Orlicz space corresponding to a Young function that behaves like exp (n/t(n-1-alpha)) for large t. We also give the result for the Orlicz-Sobolev spaces embedded into multiple exponential spaces. The ConcentrationCompactness Alternative for the singular Moser-Trudinger inequality is established to.
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
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Houston Journal of Mathematics
ISSN
0362-1588
e-ISSN
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Volume of the periodical
39
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
26
Pages from-to
205-230
UT code for WoS article
000318064600013
EID of the result in the Scopus database
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