32 citations · 78 across the 23 of their papers we have counts for
4 papers · 1 filter
The anisotropic Bernstein problem
Connor Mooney, Yang Yang
We construct nonlinear entire anisotropic minimal graphs over , completing the solution to the anisotropic Bernstein problem. The examples we construct have a variety…
Gradient estimates for the Lagrangian mean curvature equation with critical and supercritical phase
Arunima Bhattacharya, Connor Mooney, Ravi Shankar
In this paper, we prove interior gradient estimates for the Lagrangian mean curvature equation, if the Lagrangian phase is critical and supercritical and . Combined with the…
Singular structures in solutions to the Monge-Ampère equation with point masses
Connor Mooney, Arghya Rakshit
We construct new examples of Monge-Ampère metrics with polyhedral singular structures, motivated by problems related to the optimal transport of point masses and to mirror symmetry…
Homogeneous functions with nowhere vanishing Hessian determinant
Connor Mooney
We prove that functions that are homogeneous of degree on and have nowhere vanishing Hessian determinant cannot change sign.