A REMARK ON THE REGULARITY OF VECTOR-VALUED MAPPINGS DEPENDING ON TWO VARIABLES WHICH MINIMIZE SPLITTING-TYPE VARIATIONAL INTEGRALS |
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| Authors: | MBildhauer MFuchs |
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| Institution: | Universitat des Saarlandes, Fachbereich 6.1 Mathematik, Postfach 15 11 50, D-660~1 Saarbriicken, Germany |
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| Abstract: | We combine the maximum principle for vector-valued mappings established by D'Ottavio, Leonetti and Musciano 7] with regularity results from 5] and prove the Hölder continuity of the first derivatives for local minimizers u : Ω →
?N of splitting-type variational integrals provided Ω is a domain in
?2. |
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| Keywords: | Local minimizers interior regularity anisotropic energies two-dimensional problems |
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