Interior regularity for a class of nonlinear second-order elliptic systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F21%3A10246046" target="_blank" >RIV/61989100:27240/21:10246046 - isvavai.cz</a>
Result on the web
<a href="https://www.heldermann.de/JCA/JCA28/JCA281/jca28013.htm" target="_blank" >https://www.heldermann.de/JCA/JCA28/JCA281/jca28013.htm</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.na.2016.04.007" target="_blank" >10.1016/j.na.2016.04.007</a>

Result language
angličtina
Original language name
Interior regularity for a class of nonlinear second-order elliptic systems
Original language description
The interior C1,γ-regularity is proved for weak solutions to a class of nonlinear second-order elliptic systems. It is typical for the system belonging to the class that the continuity moduli of the gradients of its coefficients become slow growing sufficiently far from zero. This property guarantees the regularity of the gradients of solutions to such system in a case when the ellipticity constant is big enough. Some characteristic features of the obtained result are illustrated by examples at the end of the paper.
Czech name
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Czech description
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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

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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