Please use this identifier to cite or link to this item:
doi:10.22028/D291-26508
Title: | Differentiability and higher integrability results for local minimizers of splitting-type variational integrals in 2D with applications to nonlinear Hencky-materials |
Author(s): | Bildhauer, Michael Fuchs, Martin |
Language: | English |
Year of Publication: | 2008 |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | We prove higher integrability and differentiability results for local minimizers u:\mathbb{R}^{2}\supset\Omega\rightarrow\mathbb{R}^{M}, M\geq, of the splitting-type energy \int_{\Omega}\left[h_{1}(\left|\partial_{1}u\right|)+h_{2}(\left|\partial_{2}u\right|)\right]dx. Here h_{1}, h_{2} are rather general N-functions and no relation between hh_{1} and h_{2} is required. The methods also apply to local minimizers u:\mathbb{R}^{2}\supset\Omega\rightarrow\mathbb{R}^{2} of the functional \int_{\Omega}\left[h_{1}(\left|\textrm{div}u\right|)+h_{2}(\left|\varepsilon^{D}(u)\right|)\right]dx so that we can include some variants of so-called nonlinear Hencky-materials. Further extensions concern non-autonomous problems. |
Link to this record: | urn:nbn:de:bsz:291-scidok-47536 hdl:20.500.11880/26564 http://dx.doi.org/10.22028/D291-26508 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 223 |
Date of registration: | 5-Jun-2013 |
Faculty: | MI - Fakultät für Mathematik und Informatik |
Department: | MI - Mathematik |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
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