Sobolev regularity for convex functionals on BD. (English) Zbl 1409.49034
In this paper, the regularity of minimizers associated with some autonomous convex variational integrals, subject to suitable Dirichlet boundary conditions, are studied. More precisely, the present research work extends the results for the BV-setting to the case of functionals whose full gradients are a-priori not known to exist as finite matrix-valued Radon measures.
Reviewer: Savin Treanta (Bucharest)
MSC:
| 49N60 | Regularity of solutions in optimal control |
| 35B65 | Smoothness and regularity of solutions to PDEs |
References:
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