Regularity properties for Monge transport density and for solutions of some shape optimization problem. (English) Zbl 1032.49043
Authors’ abstract: “The authors study the dimension of certain measures which are related to the classical Monge’s optimal mass transport problem and which are solutions of a scalar shape optimization problem. In the case of maximal dimension summability of the associated densities is investigated”.
Reviewer: M.Fuchs (Saarbrücken)
MSC:
| 49Q10 | Optimization of shapes other than minimal surfaces |
| 49J45 | Methods involving semicontinuity and convergence; relaxation |
| 49Q20 | Variational problems in a geometric measure-theoretic setting |
