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math.AP2023★ 1 cited
A strong comparison principle for the generalized Dirichlet problem for Monge-Ampere
Brittany Froese Hamfeldt
We prove a strong form of the comparison principle for the elliptic Monge-Ampere equation, with a Dirichlet boundary condition interpreted in the viscosity sense. This comparison p…
math.AP2018★ 2 cited
Convergence framework for the second boundary value problem for the Monge-Ampère equation
Brittany Froese Hamfeldt
It is well known that the quadratic-cost optimal transportation problem is formally equivalent to the second boundary value problem for the Monge-Ampère equation. Viscosity solutio…