Explicit relaxation of a variational problem in optimal design

Robert V. Kohn, Gilbert Strang
1983 Bulletin of the American Mathematical Society  
Our goal is to construct a quasiconvex function $ such that for vector-valued functions u on Lipschitz domains Q c R 2 . The right side of (1) is the relaxation of the left, cf. [1]. Each infimum is over u G if 1 (Q;R JV ), lsupp Vu denotes the characteristic function of the support of Vu, and \Vu\ 2 = E(<hi7cte*) 3 -
doi:10.1090/s0273-0979-1983-15158-3 fatcat:o7see7nbxfflfnohxmysothocy