Connor Mooney

activity

20132026

most citedSome singular minimizers in low dimensions in the calculus of variations

32 citations · 78 across the 23 of their papers we have counts for

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math.AP2020

Strict $2$ -convexity of convex solutions to the quadratic Hessian equation

Connor Mooney

We prove that convex viscosity solutions to the quadratic Hessian inequality $σ_{2} (D^{2} u) \geq 1$ are strictly $2$ -convex. As a consequence we obtain short proofs of smoothness and i…

math.AP2020

Solutions to the Monge-Ampère equation with polyhedral and Y-shaped singularities

Connor Mooney

We construct convex functions on $R^{3}$ and $R^{4}$ that are smooth solutions to the Monge-Ampère equation $det D^{2} u = 1$ away from compact one-dimensional singular…

Strict 2-convexity of convex solutions to the quadratic Hessian equation

Solutions to the Monge-Ampère equation with polyhedral and Y-shaped singularities

Strict $2$ -convexity of convex solutions to the quadratic Hessian equation