Dolzmann, Georg and Kristensen, Jan and Zhang, Kewei (2013) BMO and uniform estimates for multi-well problems. MANUSCRIPTA MATHEMATICA, 140 (1-2). pp. 83-114. ISSN 0025-2611, 1432-1785
Full text not available from this repository. (Request a copy)Abstract
We establish optimal local regularity results for vector-valued extremals and minimizers of variational integrals whose integrand is the squared distance function to a compact set K in matrix space . The optimality is illustrated by explicit examples showing that, in the nonconvex case, minimizers need not be locally Lipschitz. This is in contrast to the case when the set K is suitably convex, where we show that extremals are locally Lipschitz continuous. The results rely on the special structure of the integrand and elementary Cordes-Nirenberg type estimates for elliptic systems.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SINGULAR SET; CONVEX; CALCULUS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Georg Dolzmann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 30 Apr 2020 12:17 |
| Last Modified: | 30 Apr 2020 12:17 |
| URI: | https://pred.uni-regensburg.de/id/eprint/17531 |
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