Topology optimization and minimal partitions using a gradient-free perimeter approximation
Samuel Amstutz
Université d'Avignon
Samuel Amstutz
Université d'Avignon
Elvira Zappale
Universidade de Salerno
Abstract: By means of duality we prove existence and uniqueness of equilibrium for energies described by integral functionals which fail to be convex. This analysis is motivated by some physical models of elastic materials (cf. for istance [2, 4]) and the techniques generalize the methods first introduced in [5, 1]. A suitable Euler Lagrange equation characterizing the minimizers is derived.
Joint work with G. Carita and G. Pisante
Analytic and geometric properties of functions with dislocations singularity (13h30)
Riccardo Scala (Weierstrass Institute (WIAS), Berlin)