Weak limits of Sobolev homeomorphisms are one to one almost everywhere

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10511022" target="_blank" >RIV/00216208:11320/25:10511022 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21240/25:00384130
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=D1KRVAT5am" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=D1KRVAT5am</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00526-025-03041-2" target="_blank" >10.1007/s00526-025-03041-2</a>

Result language
angličtina
Original language name
Weak limits of Sobolev homeomorphisms are one to one almost everywhere
Original language description
We prove that the key property in models of Nonlinear Elasticity which corresponds to the non-interpenetration of matter, i.e. injectivity a.e., can be achieved in the class of weak limits of homeomorphisms under very minimal assumptions. Let Q subset of R-n be a domain and let p > [ n/2 ] for n >= 4 or p >= 1 for n = 2, 3. Assume that f(k) is an element of W-1,W-p is a sequence of 2 homeomorphisms such that f(k)<rightwards harpoon with barb upwards>f weakly in W1,p and assume that J(f) > 0 a.e. Then we show that f is injective a.e.
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
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
Calculus of Variations and Partial Differential Equations
ISSN
0944-2669
e-ISSN
1432-0835
Volume of the periodical
64
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
15
Pages from-to
186
UT code for WoS article
001504269300001
EID of the result in the Scopus database
2-s2.0-105007473844

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