Please use this identifier to cite or link to this item:
doi:10.22028/D291-26362
Title: | A remark on the regularity of vector-valued mappings depending on two variables which minimize splitting-type variational integrals |
Author(s): | Bildhauer, Michael Fuchs, Martin |
Language: | English |
Year of Publication: | 2007 |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | We combine a maximum principle for vector-valued mappings established by D’Ottavio, Leonetti and Musciano [DLM] with regularity results from [BF3] and prove the Hölder continuity of the first derivatives for local minimizers u:\Omega\rightarrow\mathbb{R}^{N} of splitting-type variational integrals provided \Omega is a domain in \mathbb{R}^{2}. |
Link to this record: | urn:nbn:de:bsz:291-scidok-47307 hdl:20.500.11880/26418 http://dx.doi.org/10.22028/D291-26362 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 200 |
Date of registration: | 20-Mar-2012 |
Faculty: | MI - Fakultät für Mathematik und Informatik |
Department: | MI - Mathematik |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
Files for this record:
File | Description | Size | Format | |
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preprint_200_07.pdf | 110,33 kB | Adobe PDF | View/Open |
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