Mappings of finite signed distortion: Sobolev spaces and composition of mappings

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10127339" target="_blank" >RIV/00216208:11320/12:10127339 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.jmaa.2011.08.045" target="_blank" >http://dx.doi.org/10.1016/j.jmaa.2011.08.045</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2011.08.045" target="_blank" >10.1016/j.jmaa.2011.08.045</a>

Result language
angličtina
Original language name
Mappings of finite signed distortion: Sobolev spaces and composition of mappings
Original language description
We study the optimal conditions on a homeomorphism f : Omega -> R(n) which guarantee that the composition u o f belongs to the Sobolev space W(1,p) for every u is an element of W(1,q). To prove it we characterize when the inverse mapping f(-1) maps setsof measure zero onto sets of measure zero (satisfies the Luzin (N(-1)) condition).
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/LC06052" target="_blank" >LC06052: The Nečas Center for Mathematical Modeling</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
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)