A remark on polyconvex functions with symmetry
The result's identifiers
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>
Alternative languages
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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Classification
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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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Elasticity
ISSN
0374-3535
e-ISSN
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Volume of the periodical
122
Issue of the periodical within the volume
2
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
6
Pages from-to
255-260
UT code for WoS article
000368190300008
EID of the result in the Scopus database
2-s2.0-84955330522