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A variational method for second order shape derivatives | Guy Bouchitté
; Ilaria Fragalà
; Ilaria Lucardesi
; | Date: |
1 Sep 2015 | Abstract: | We consider shape functionals obtained as minima on Sobolev spaces of
classical integrals having smooth and convex densities, under mixed
Dirichlet-Neumann boundary conditions. We propose a new approach for the
computation of the second order shape derivative of such functionals, yielding
a general existence and representation theorem. In particular, we consider the
p-torsional rigidity functional for p grater than or equal to 2. | Source: | arXiv, 1509.0178 | Services: | Forum | Review | PDF | Favorites |
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