Please use this identifier to cite or link to this item:
doi:10.22028/D291-26352
Title: | A regularity theory for scalar local minimizers of splitting-type variational integrals |
Author(s): | Bildhauer, Michael Fuchs, Martin Zhong, Xiao |
Language: | English |
Year of Publication: | 2007 |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | Starting from Giaquinta's counterexample [Gi] we introduce the class of splitting functionals being of (p,q)-growth with exponents p\leq q<\infty and show for the scalar case that locally bounded local minimizers are of class C^{1,\mu}. Note that to our knowledge the only C^{1,\mu}-results without imposing a relation between p and q concern the case of two independent variables as it is outlined in Marcellini's paper [Ma1], Theorem A, and later on in the work of Fusco and Sbordone [FS], Theorem 4.2. |
Link to this record: | urn:nbn:de:bsz:291-scidok-47204 hdl:20.500.11880/26408 http://dx.doi.org/10.22028/D291-26352 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 188 |
Date of registration: | 15-Mar-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_188_07.pdf | 234,76 kB | Adobe PDF | View/Open |
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