Please use this identifier to cite or link to this item:
doi:10.22028/D291-26501
Title: | Local Lipschitz regularity of vector valued local minimizers of variational integrals with densities depending on the modulus of the gradient |
Author(s): | Fuchs, Martin |
Language: | English |
Year of Publication: | 2008 |
Free key words: | vector valued problems local minimizers Lipschitz regularity nonstandard growth |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | If u:\mathbb{R}^{n}\supset\Omega\rightarrow\mathbb{R}^{M} locally minimizes the functional \int_{\Omega}h(\left|\nabla u\right|)dx with h such that \frac{h'(t)}{t}\leq h''(t)\leq c(t+t^{2})^{\omega}\frac{h'(t)}{t} for all t\geq0, then u is locally Lipschitz independent of the value of \omega\geq0. |
Link to this record: | urn:nbn:de:bsz:291-scidok-47489 hdl:20.500.11880/26557 http://dx.doi.org/10.22028/D291-26501 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 218 |
Date of registration: | 5-Jun-2013 |
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 | |
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preprint_218_08.pdf | 131,06 kB | Adobe PDF | View/Open |
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