Please use this identifier to cite or link to this item:
doi:10.22028/D291-26226
Title: | Higher order variational problems on two-dimensional domains |
Author(s): | Bildhauer, Michael Fuchs, Martin |
Language: | English |
Year of Publication: | 2005 |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | Let u:\mathbb{R}^{2}\supset\Omega\rightarrow\mathbb{R}^{M} denote a local minimizer of J[w]=\int_{\Omega}f(\nabla^{k}w)dx, where k\geq2 and \nabla^{k}w is the tensor of all k^{th} order (weak) partial derivatives. Assuming rather general growth and ellipticity conditions for f, we prove that u actually belongs to the class C^{k,\alpha}(\Omega;\mathbb{R}^{M}) by the way extending the result of [BF2] to the higher order case by using different methods. A major tool is a lemma on the higher integrability of functions established in [BFZ]. |
Link to this record: | urn:nbn:de:bsz:291-scidok-44997 hdl:20.500.11880/26282 http://dx.doi.org/10.22028/D291-26226 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 133 |
Date of registration: | 2-Dec-2011 |
Faculty: | MI - Fakultät für Mathematik und Informatik |
Department: | MI - Mathematik |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
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File | Description | Size | Format | |
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preprint_133_05.pdf | 153,48 kB | Adobe PDF | View/Open |
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