Everywhere C-alpha-estimates for a class of nonlinear elliptic systems with critical growth

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10282705" target="_blank" >RIV/00216208:11320/14:10282705 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1515/acv-2012-0002" target="_blank" >http://dx.doi.org/10.1515/acv-2012-0002</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/acv-2012-0002" target="_blank" >10.1515/acv-2012-0002</a>

Result language
angličtina
Original language name
Everywhere C-alpha-estimates for a class of nonlinear elliptic systems with critical growth
Original language description
We obtain everywhere C-alpha-regularity for vector solutions to a class of nonlinear elliptic systems whose principal part is the Euler operator to a variational integral with quadratic growth in gradient of the unknown and which satisfies a generalizedsplitting condition and the one-sided condition. If the leading operator is not necessarily elliptic but coercive, possible minima are everywhere Holder continuous and the same holds also for Noether solutions, i.e., extremals which are also stationary with respect to inner variations.The technique of our proof (using weighted norms and inhomogeneous hole-filling method) does not rely on L-infinity-a priori estimates for the solution.
Czech name
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Czech description
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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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Project
<a href="/en/project/GA201%2F09%2F0917" target="_blank" >GA201/09/0917: Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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