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 minimizers 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 hdl:20.500.11880/26209 http://dx.doi.org/10.22028/D291-26153 |
| 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 |
Files for this record:
| File | Description | Size | Format | |
|---|---|---|---|---|
| preprint_41_01.pdf | 198,58 kB | Adobe PDF | View/Open |
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