Weak limit of W1,2 homeomorphisms in R3 can have any degree
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10492959" target="_blank" >RIV/00216208:11320/24:10492959 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21240/24:00379722
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=iB1tB7OxtM" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=iB1tB7OxtM</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.54330/afm.147887" target="_blank" >10.54330/afm.147887</a>
Alternative languages
Result language
angličtina
Original language name
Weak limit of W1,2 homeomorphisms in R3 can have any degree
Original language description
In this paper for every k is an element of Z we construct a sequence of weakly converging homeomorphisms h(m) : B(0, 10) -> R-3 , h(m) <rightwards harpoon with barb upwards> h in W-1,W-2 (B(0, 10)), such that h(m)(x) = x on partial derivative B(0, 10) and for every r is an element of 5 16 , 7 16 ) the degree of h with respect to the ball B(0, r) is equal to k on a set of positive measure.
Czech name
—
Czech description
—
Classification
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
Result continuities
Project
<a href="/en/project/GA21-01976S" target="_blank" >GA21-01976S: Geometric and Harmonic Analysis 2</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Annales Fennici Mathematici
ISSN
2737-0690
e-ISSN
2737-114X
Volume of the periodical
49
Issue of the periodical within the volume
2
Country of publishing house
FI - FINLAND
Number of pages
14
Pages from-to
547-560
UT code for WoS article
001314971300002
EID of the result in the Scopus database
2-s2.0-85205939912