On Holder continuity of solutions for a class of nonlinear elliptic systems with p-growth via weighted integral techniques

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10314008" target="_blank" >RIV/00216208:11320/15:10314008 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10231-014-0410-x" target="_blank" >http://dx.doi.org/10.1007/s10231-014-0410-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10231-014-0410-x" target="_blank" >10.1007/s10231-014-0410-x</a>

Result language
angličtina
Original language name
On Holder continuity of solutions for a class of nonlinear elliptic systems with p-growth via weighted integral techniques
Original language description
We consider weak solutions of nonlinear elliptic systems in a W-1,W- p-setting which arise as Euler-Lagrange equations of certain variational integrals with pollution term, and we also consider minimizers of a variational problem. The solutions are assumed to be stationary in the sense that the differential of the variational integral vanishes with respect to variations of the independent and the dependent variables. We impose new structural conditions on the nonlinearities which yield C-alpha-regularity and C-alpha-estimates for the solutions. These structure conditions cover variational integrals like integral F(del u) dx with potential F(del u) := F (Q(1)(del u),..., Q(N) (del u)) and positive definite quadratic forms Q(i) in del u defined as Q(i) (del u) = Sigma(alpha beta) a(i)(alpha beta) del u(alpha). del u(beta). A simple example consists in F (xi(1), xi(2)) := vertical bar xi(1)vertical bar(p/2) + vertical bar xi(2)vertical bar(p/2) or F(xi(1), xi(2)) := vertical bar xi(1)vert
Czech name
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Czech description
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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/LL1202" target="_blank" >LL1202: Implicitly constituted material models: from theory through model reduction to efficient numerical methods</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
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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