We obtain a measure representation for a functional arising in the context of optimal design problems under linear growth conditions. The functional in question corresponds to the relaxation with respect to a pair, where is the characteristic function of a set of finite perimeter and is a function of bounded deformation, of an energy with a bulk term depending on the symmetrized gradient as well as a perimeter term.
Relaxation for an optimal design problem in BD (ω) / Barroso, A. C.; Matias, J.; Zappale, E.. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - (2022), pp. 1-43. [10.1017/prm.2022.11]
Relaxation for an optimal design problem in BD (ω)
Zappale E.
2022
Abstract
We obtain a measure representation for a functional arising in the context of optimal design problems under linear growth conditions. The functional in question corresponds to the relaxation with respect to a pair, where is the characteristic function of a set of finite perimeter and is a function of bounded deformation, of an energy with a bulk term depending on the symmetrized gradient as well as a perimeter term.| File | Dimensione | Formato | |
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