67 citations · 313 across the 39 of their papers we have counts for
17 papers · 1 filter
regularity for principal-agent problems
Robert J. McCann, Cale Rankin, Kelvin Shuangjian Zhang
We prove the interior regularity of the indirect utilities which solve a subclass of principal-agent problems originally considered by Figalli, Kim, and McCann. Our appro…
Asymptotics near extinction for nonlinear fast diffusion on a bounded domain
Beomjun Choi, Robert J. McCann, Christian Seis
On a smooth bounded Euclidean domain, Sobolev-subcritical fast diffusion with vanishing boundary trace is known to lead to finite-time extinction, with a vanishing profile selected…
Optimal transportation between unequal dimensions
Robert J McCann, Brendan Pass
We establish that solving an optimal transportation problem in which the source and target densities are defined on manifolds with different dimensions, is equivalent to solving a…
Free discontinuities in optimal transport
Jun Kitagawa, Robert McCann
We prove a nonsmooth implicit function theorem applicable to the zero set of the difference of convex functions. This theorem is explicit and global: it gives a formula representin…
Multi- to one-dimensional transportation
Pierre-André Chiappori, Robert J McCann, Brendan Pass
Fix probability densities and on open sets and with . Consider transporting onto so as to minimize the…
The spectrum of a family of fourth-order equations near the global attractor
Robert J. McCann, Christian Seis
The thin-film and quantum drift diffusion equations belong to a fourth-order family of evolution equations proposed in ref. 16 to be analogous to the (second-order) porous medium f…