A variational method for second order shape derivatives
Optimization and Control
2018-08-07 v1
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.
Cite
@article{arxiv.1509.00178,
title = {A variational method for second order shape derivatives},
author = {Guy Bouchitté and Ilaria Fragalà and Ilaria Lucardesi},
journal= {arXiv preprint arXiv:1509.00178},
year = {2018}
}
Comments
Submitted paper. 29 pages