A remark on polyconvex envelopes of radially symmetric functions in dimension
Applications of Mathematics (1997)
- Volume: 42, Issue: 3, page 195-212
- ISSN: 0862-7940
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topDošlý, Ondřej. "A remark on polyconvex envelopes of radially symmetric functions in dimension $2\times 2$." Applications of Mathematics 42.3 (1997): 195-212. <http://eudml.org/doc/32976>.
@article{Došlý1997,
abstract = {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.},
author = {Došlý, Ondřej},
journal = {Applications of Mathematics},
keywords = {polyconvex envelope; rank one convex envelope; lower semicontinuous functional; quasiconvex functional; coercive integral functional; radially symmetric function of Kohn-Strang type; polyconvex envelope; rank one envelope; quasiconvex functional; coercive integral functional; radially symmetric function of Kohn-Strang type},
language = {eng},
number = {3},
pages = {195-212},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A remark on polyconvex envelopes of radially symmetric functions in dimension $2\times 2$},
url = {http://eudml.org/doc/32976},
volume = {42},
year = {1997},
}
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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 42
IS - 3
SP - 195
EP - 212
AB - 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.
LA - eng
KW - polyconvex envelope; rank one convex envelope; lower semicontinuous functional; quasiconvex functional; coercive integral functional; radially symmetric function of Kohn-Strang type; polyconvex envelope; rank one envelope; quasiconvex functional; coercive integral functional; radially symmetric function of Kohn-Strang type
UR - http://eudml.org/doc/32976
ER -
References
top- 10.1007/BF00279992, Arch. Rational Mech. Anal. 63 (1977), 337–403. (1977) MR0475169DOI10.1007/BF00279992
- Direct Methods in the Calculus of Variations, Springer-Verlag, New-York 1989. MR0990890
- On the different notions of convexity for rationally invariant functions, preprint.
- 10.1002/cpa.3160390305, Comm. Pure Appl. Math. 39 (1986), 113–137, 139–182, 353–377. (1986) MR0820342DOI10.1002/cpa.3160390305
- 10.2140/pjm.1952.2.25, Pacific. J. Math. 2 (1952), 25–53. (1952) MR0054865DOI10.2140/pjm.1952.2.25
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