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 |
Files for this record:
| File | Description | Size | Format | |
|---|---|---|---|---|
| preprint_128_05.pdf | 203,76 kB | Adobe PDF | View/Open |
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