A remark on polyconvex functions with symmetry

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00455131" target="_blank" >RIV/67985840:_____/16:00455131 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10659-015-9537-2" target="_blank" >http://dx.doi.org/10.1007/s10659-015-9537-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10659-015-9537-2" target="_blank" >10.1007/s10659-015-9537-2</a>

Result language
angličtina
Original language name
A remark on polyconvex functions with symmetry
Original language description
For a given polyconvex function W, among all associated convex functions g of minors there exists the largest one; this function inherits all symmetry properties of W. For a given associated (not necessarily the largest) function g, one can still find an associated (possibly not the largest) function with the symmetry of W. This function is constructed by averaging of symmetry conjugated functions over the symmetry group of W using Haar’s measure. It follows that if a symmetric polyconvex function W has class k=0,,infty associated function, then the averaging produces a symmetric associated function that is class k as well.
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
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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