$L^{\infty }$-optimal transport for a class of quasiconvex cost functions

Camilla Brizzi, Luigi De Pascale, Anna Kausamo

We consider the $L^{\infty }$-optimal mass transportation problem \[ \min_{Π(μ, ν)} γ-\mathrm{ess\,sup\,} c(x,y), \] for a new class of costs $c(x,y)$ for which we introduce a tentati…