Please use this identifier to cite or link to this item:
doi:10.22028/D291-26303
Title: | Variational integrals with a wide range of anisotropy |
Author(s): | Bildhauer, Michael Fuchs, Martin Zhong, Xiao |
Language: | English |
Year of Publication: | 2005 |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | We consider anisotropic variational integrals of (p,q)-growth and prove for the scalar case interior C^{1,\alpha}-regularity of bounded local minimizers under the assumption that q\leq2p by the way discussing a famous counterexample of Giaquinta. In the vector case we obtain some higher integrability result for the gradient. |
Link to this record: | urn:nbn:de:bsz:291-scidok-44947 hdl:20.500.11880/26359 http://dx.doi.org/10.22028/D291-26303 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 128 |
Date of registration: | 15-Feb-2012 |
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_128_05.pdf | 203,76 kB | Adobe PDF | View/Open |
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