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: Preprint
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

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