Geodesic
A remark on polyconvex envelopes of radially symmetric functions in dimension $2\times 2$
Applications of Mathematics, Tome 42 (1997) no. 3, pp. 195-212

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We study polyconvex envelopes of a class of functions related to the function of Kohn and Strang introduced in . We present an example of a function of this class for which the polyconvex envelope may be computed explicitly and we also point out some general features of the problem.
DOI : 10.1023/A:1022417621327
Classification : 49J40, 49J45, 73C50, 73V25, 90C26
Keywords: polyconvex envelope; rank one convex envelope; lower semicontinuous functional; quasiconvex functional; coercive integral functional; radially symmetric function of Kohn-Strang type 
@article{10_1023_A_1022417621327,
     author = {Do\v{s}l\'y, Ond\v{r}ej},
     title = {A remark on polyconvex envelopes of radially symmetric functions in dimension $2\times 2$},
     journal = {Applications of Mathematics},
     pages = {195--212},
     publisher = {mathdoc},
     volume = {42},
     number = {3},
     year = {1997},
     doi = {10.1023/A:1022417621327},
     mrnumber = {1441630},
     zbl = {0904.49012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1022417621327/}
}
TY  - JOUR
AU  - Došlý, Ondřej
TI  - A remark on polyconvex envelopes of radially symmetric functions in dimension $2\times 2$
JO  - Applications of Mathematics
PY  - 1997
SP  - 195
EP  - 212
VL  - 42
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1023/A:1022417621327/
DO  - 10.1023/A:1022417621327
LA  - en
ID  - 10_1023_A_1022417621327
ER  - 
%0 Journal Article
%A Došlý, Ondřej
%T A remark on polyconvex envelopes of radially symmetric functions in dimension $2\times 2$
%J Applications of Mathematics
%D 1997
%P 195-212
%V 42
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1023/A:1022417621327/
%R 10.1023/A:1022417621327
%G en
%F 10_1023_A_1022417621327
Došlý, Ondřej. A remark on polyconvex envelopes of radially symmetric functions in dimension $2\times 2$. Applications of Mathematics, Tome 42 (1997) no. 3, pp. 195-212. doi: 10.1023/A:1022417621327

Cité par Sources :