Approximation of W-1,W-p Sobolev homeomorphism by diffeomorphisms and the signs of the Jacobian

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10390738" target="_blank" >RIV/00216208:11320/18:10390738 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.aim.2018.04.017" target="_blank" >https://doi.org/10.1016/j.aim.2018.04.017</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aim.2018.04.017" target="_blank" >10.1016/j.aim.2018.04.017</a>

Result language
angličtina
Original language name
Approximation of W-1,W-p Sobolev homeomorphism by diffeomorphisms and the signs of the Jacobian
Original language description
Let Omega subset of R-n, n >= 4, be a domain and 1 <= p < [n/2], where [a] stands for the integer part of a. We construct a homeomorphism f is an element of W-1,W-P((-1, 1)(n),R-n) such that J(f) = det D f > 0 on a set of positive measure and J(f) < 0 on a set of positive measure. It follows that there are no diffeomorphisms (or piecewise affine homeomorphisms) f(k) such that f(k )-> f in W-1,W-p.
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/LL1203" target="_blank" >LL1203: Properties of functions and mappings in Sobolev spaces</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)