A boundary regularity result for minimizers of variational integrals with nonstandard growth

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10384156" target="_blank" >RIV/00216208:11320/18:10384156 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.na.2018.03.001" target="_blank" >https://doi.org/10.1016/j.na.2018.03.001</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.na.2018.03.001" target="_blank" >10.1016/j.na.2018.03.001</a>

Result language
angličtina
Original language name
A boundary regularity result for minimizers of variational integrals with nonstandard growth
Original language description
We prove global Lipschitz regularity for a wide class of convex variational integrals among all functions in W-1,W-1 with prescribed (sufficiently regular) boundary values, which are not assumed to satisfy any geometrical constraint (as for example bounded slope condition). Furthermore, we do not assume any restrictive assumption on the geometry of the domain and the result is valid for all sufficiently smooth domains. The result is achieved with a suitable approximation of the functional together with a new construction of appropriate barrier functions. (C) 2018 Elsevier Ltd. All rights reserved.
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
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA16-03230S" target="_blank" >GA16-03230S: Thermodynamically consistent models for fluid flows: mathematical theory and numerical solution</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

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

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