Please use this identifier to cite or link to this item:
doi:10.22028/D291-26368
Title: | Interior gradient bounds for local minimizers of variational integrals under nonstandard growth conditions |
Author(s): | Apushkinskaya, Darya Bildhauer, Michael Fuchs, Martin |
Language: | English |
Year of Publication: | 2008 |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | Inspired by the work of Marcellini and Papi [MP] we consider local minima u:\mathbb{R}^{n}\supset\Omega\rightarrow\mathbb{R}^{M} of variational integrals of the form \int_{\Omega}h(\left|\nabla u\right|)dx and prove interior gradient bounds under rather general assumptions on h working with the additional hypothesis that u is locally bounded. Our requirements imposed on the density h do not involve the dimension n. |
Link to this record: | urn:nbn:de:bsz:291-scidok-47363 hdl:20.500.11880/26424 http://dx.doi.org/10.22028/D291-26368 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 206 |
Date of registration: | 23-Mar-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_206_08.pdf | 195,3 kB | Adobe PDF | View/Open |
Items in SciDok are protected by copyright, with all rights reserved, unless otherwise indicated.