On local generalized minimizers and local stress tensors for variational problems with linear growth

Uniqueness and regularity results for local vector-valued generalized minimizers and for local stress tensors associated to variational problems with linear growth conditions are established. If the energy density f has structure f(Z) = h(|Z|), only very weak ellipticity assumptions are required. Fo...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2010-02, Vol.165 (1), p.42-59
Main Authors: Apushkinskaya, D., Bildhauer, M., Fuchs, M.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:Uniqueness and regularity results for local vector-valued generalized minimizers and for local stress tensors associated to variational problems with linear growth conditions are established. If the energy density f has structure f(Z) = h(|Z|), only very weak ellipticity assumptions are required. For the proof we combine arguments from measure theory and convex analysis with regularity results obtained by the authors recently. Bibliography: 33 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-010-9779-2