clopen.solutions

Open problems

980 registered problems.

OP-00682 Solution claimed
Smooth-gradient approximation of finite-Fisher-information scores
AP · AIM Open Applied Problems · Fisher information · optimal transport · weighted Sobolev approximation
OP-00698 Solution claimed
Continuity of manifold transport under MTW and convex injectivity domains
AP · AIM Open Applied Problems · Ma–Trudinger–Wang condition · optimal transport · Riemannian manifolds
OP-00736 Solution claimed
Villani’s convex-injectivity-domain conjecture
DG · AIM Open Applied Problems · injectivity domains · Ma–Trudinger–Wang condition · optimal transport
OP-00821 Solution claimed
Regularity of transport interfaces for nonconvex polyhedral targets
AP · AIM Open Applied Problems · Brenier maps · optimal transport · singular sets
OP-00896 Open
Uniqueness of bounded semigeostrophic potential vorticity
AP · AIM Open Applied Problems · optimal transport · semigeostrophic equations · weak solutions