Please use this identifier to cite or link to this item: doi:10.22028/D291-26153
Title: Twodimensional anisotropic variational problems
Author(s): Bildhauer, Michael
Fuchs, Martin
Language: English
Year of Publication: 2001
Free key words: regularity
anisotropic growth
removable singularities
DDC notations: 510 Mathematics
Publikation type: Other
Abstract: We consider local minimizers u:\Omega\rightarrow\mathbb{R}^{N}, \Omega a domain in \mathbb{R}^{2}, of the variational integral \int_{\Omega}f(\nabla u)dx with integrand f of upper (lower) growth rate q(s). We show using a lemma due to Frehse and Seregin that u has Hölder contiuous first derivatives provided that q < 2s.
Link to this record: urn:nbn:de:bsz:291-scidok-43608
Series name: Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Series volume: 41
Date of registration: 14-Oct-2011
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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