A note on equality of functional envelopes.

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F03%3A16030097" target="_blank" >RIV/67985556:_____/03:16030097 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

A note on equality of functional envelopes.

Original language description

We characterize generalized extreme points of compact convex sets. In particular, we show that if the polyconvex hull is convex in $R^{mtimes n}$, $min(m,n)le 2$, then it is constructed from polyconvex extreme points via sequential lamination. Further, we give theorems ensuring equality of the quasiconvex (polyconvex) and the rank-1 convex envelopes of a lower semicontinuous function without explicit convexity assumptions on the quasiconvex (polyconvex) envelope.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/IAA1075005" target="_blank" >IAA1075005: Variational problems in nonsmooth mathematical physics: theory, numerical methods and applications</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2003

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematica Bohemica

ISSN

0862-7959

e-ISSN

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Volume of the periodical

128

Issue of the periodical within the volume

2

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

10

Pages from-to

169-178

UT code for WoS article

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EID of the result in the Scopus database

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