On a Range of Exponents for Absence of Lavrentiev Phenomenon for Double Phase Functionals
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10452923" target="_blank" >RIV/00216208:11320/22:10452923 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=.RizbK0Is_" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=.RizbK0Is_</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00205-022-01816-x" target="_blank" >10.1007/s00205-022-01816-x</a>
Alternative languages
Result language
angličtina
Original language name
On a Range of Exponents for Absence of Lavrentiev Phenomenon for Double Phase Functionals
Original language description
For a class of functionals having the (p, q)-growth, we establish an improved range of exponents p, q for which the Lavrentiev phenomenon does not occur.The proof is based on a standard mollification argument and Young convolution inequality. Our contribution is two-fold. First, we observe that it is sufficient to regulariseonly bounded functions. Second, we exploit the lower bound on the function rather than the L p estimate on the gradient. Our proof does not rely on the propertiesof minimizers to variational problems but it is rather a consequence of the underlying Musielak-Orlicz function spaces. Moreover, our method works for unboundedboundary data, the variable exponent functionals and vectorial problems.In addition, the result seems to be optimal for p le d.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GX20-11027X" target="_blank" >GX20-11027X: Mathematical analysis of partial differential equations describing far-from-equilibrium open systems in continuum thermodynamics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Archive for Rational Mechanics and Analysis
ISSN
0003-9527
e-ISSN
1432-0673
Volume of the periodical
246
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
32
Pages from-to
209-240
UT code for WoS article
000849138300001
EID of the result in the Scopus database
2-s2.0-85137475028