Zaremba problem with degenerate weights
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10493451" target="_blank" >RIV/00216208:11320/24:10493451 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=aDhtFaMOg3" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=aDhtFaMOg3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/acv-2024-0041" target="_blank" >10.1515/acv-2024-0041</a>
Alternative languages
Result language
angličtina
Original language name
Zaremba problem with degenerate weights
Original language description
We present new regularity result in the study of elliptic equations with mixed boundary conditions. We obtain small higher integrability of the gradient (Meyers property). The result is new for both linear and nonlinear equations with degenerate coefficients with a new sharp Maz'ya-type capacity condition on the part with Dirichlet boundary condition, while prior research was limited to uniformly elliptic weights.
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
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Advances in Calculus of Variations
ISSN
1864-8258
e-ISSN
1864-8266
Volume of the periodical
2024
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
21
Pages from-to
1-21
UT code for WoS article
001358084300001
EID of the result in the Scopus database
2-s2.0-85210768409