WEAK LIMIT OF HOMEOMORPHISMS IN W1,n-1 - INVERTIBILITY AND LOWER SEMICONTINUITY OF ENERGY

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10492960" target="_blank" >RIV/00216208:11320/24:10492960 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=H~VshqxXXQ" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=H~VshqxXXQ</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1051/cocv/2024006" target="_blank" >10.1051/cocv/2024006</a>

Result language
angličtina
Original language name
WEAK LIMIT OF HOMEOMORPHISMS IN W1,n-1 - INVERTIBILITY AND LOWER SEMICONTINUITY OF ENERGY
Original language description
Let Omega, Omega' subset of R-n be bounded domains and let f(m): Omega -> Omega' be a sequence of homeomorphisms with positive Jacobians J(fm) > 0 a.e. and prescribed Dirichlet boundary data. Let all f(m) satisfy the Lusin (N) condition and sup(m) integral Omega(vertical bar Df(m)vertical bar(n-1) + A(vertical bar cof D f(m)vertical bar) + phi(J(f))) < infinity, where A and phi are positive convex functions. Let f be a weak limit of f(m) in W-1,W-n-1. Provided certain growth behaviour of A and phi, we show that f satisfies the (INV) condition of Conti and De Lellis, the Lusin (N) condition, and polyconvex energies are lower semicontinuous.
Czech name
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Czech description
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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/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)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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