Calculus of Variations and Geometric Measure Theory

D. Bucur - G. Buttazzo - N. Varchon

On the problem of optimal cutting

created on 06 Apr 2001
modified on 26 Jul 2004


Published Paper

Inserted: 6 apr 2001
Last Updated: 26 jul 2004

Journal: SIAM J. Optim.
Year: 2001


The paper deals with the existence of an optimal cutting in a membrane satisfying the following assumptions: it has to connect two given points in order to leave the membrane the strongest possible. We prove the existence of a solution for this problem in a rather general setting and we present some open questions related to the regularity of the optimum or to possible extensions for plates in the elasticity framework.