Hui Yu

activity

20152023

most citedPositivity-preserving third order DG schemes for Poisson--Nernst--Planck equations

27 citations · 66 across the 24 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.AP2018

Global $W^{2, 1 + ε}$ estimates for Monge-Ampère equation with natural boundary condition

Ovidiu Savin, Hui Yu

For the Monge-Ampère equation with a right-hand side bounded away from 0 and infinity, we show that the solution, subject to the natural boundary condition arising in optimal trans…

math.AP2018★ 9 cited

Regularity of optimal transport between planar convex domains

Ovidiu Savin, Hui Yu

For $0 < p < + \infty$ , we prove a global $W^{2, p}$ -estimate for potentials of optimal transport maps between convex domains in the plane. Among the tools developed for that purpose are…

math.AP2018

On the multiple membranes problem

Ovidiu Savin, Hui Yu

We establish the optimal regularity for solutions to the multiple membranes problem, and perform a blow-up analysis at points on the free boundary with the highest multiplicity. Th…

Global W2,1+ε estimates for Monge-Ampère equation with natural boundary condition

Regularity of optimal transport between planar convex domains

On the multiple membranes problem

Global $W^{2, 1 + ε}$ estimates for Monge-Ampère equation with natural boundary condition