On sets in Rd with DC distance function

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10422215" target="_blank" >RIV/00216208:11320/20:10422215 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=kwxqW1ajho" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=kwxqW1ajho</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2019.123536" target="_blank" >10.1016/j.jmaa.2019.123536</a>

Result language
angličtina
Original language name
On sets in Rd with DC distance function
Original language description
We study closed sets F SUBSET OF Rd whose distance function dF:=dist(., F)is DC (i.e., is the difference of two convex functions on Rd). Our main result asserts that if FSUBSET OF R2 is a graph of a DC function g:R -> R, then Fhas the above property. If d >1, the same holds if g:Rd-1 -> Ris semiconcave, however the case of a general DC function gremains open.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA18-11058S" target="_blank" >GA18-11058S: Generalized convexity in geometry and analysis</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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