Gradient L^q theory for a class of non-diagonal nonlinear elliptic systems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00488525" target="_blank" >RIV/67985840:_____/18:00488525 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/18:10384149
Result on the web
<a href="http://dx.doi.org/10.1016/j.na.2018.02.004" target="_blank" >http://dx.doi.org/10.1016/j.na.2018.02.004</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.na.2018.02.004" target="_blank" >10.1016/j.na.2018.02.004</a>
Alternative languages
Result language
angličtina
Original language name
Gradient L^q theory for a class of non-diagonal nonlinear elliptic systems
Original language description
We consider a class of nonlinear non-diagonal elliptic systems with p-growth and establish the Lq-integrability for all ... of any weak solution provided the corresponding right hand side belongs to the corresponding Lebesgue space and the involved elliptic operator asymptotically satisfies the p-uniform ellipticity, the so-called splitting condition and it is continuous with respect to the spatial variable. For operators satisfying the uniform p-ellipticity condition the higher integrability is known for ... and for operators having the so-called Uhlenbeck structure, the theory is valid for all ... The key novelty of the paper is twofold. First, the statement uses only the information coming from the asymptotic operator and second, and more importantly, by using the splitting condition, we are able to extend the range of possible q's significantly whenever.
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
<a href="/en/project/GA16-03230S" target="_blank" >GA16-03230S: Thermodynamically consistent models for fluid flows: mathematical theory and numerical solution</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Nonlinear Analysis: Theory, Methods & Applications
ISSN
0362-546X
e-ISSN
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Volume of the periodical
171
Issue of the periodical within the volume
June
Country of publishing house
GB - UNITED KINGDOM
Number of pages
14
Pages from-to
156-169
UT code for WoS article
000428449000009
EID of the result in the Scopus database
2-s2.0-85042731382