On continuity properties of monotone operators beyond the natural domain of definition

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10124067" target="_blank" >RIV/00216208:11320/12:10124067 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00229-011-0506-1" target="_blank" >http://dx.doi.org/10.1007/s00229-011-0506-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00229-011-0506-1" target="_blank" >10.1007/s00229-011-0506-1</a>

Result language
angličtina
Original language name
On continuity properties of monotone operators beyond the natural domain of definition
Original language description
We study boundary value problems associated to a nonlinear elliptic system of partial differential equations. The leading second order elliptic operator provides (2)-coerciveness and has at most linear growth with respect to the gradient. Incorporating properties of Lipschitz approximations of Sobolev functions we are able to show that the problems in consideration are well-posed in the sense of Hadamard. For simplicity we restrict ourselves to the Dirichlet problem.
Czech name
—
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/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)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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