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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Showing 2015 · math.APShow all

3 papers · 2 filters

math.AP2015★ 4 cited

Some counterexamples to Sobolev regularity for degenerate Monge-Ampère equations

Connor Mooney

We construct a counterexample to $W^{2, 1}$ regularity for convex solutions to $det D^{2} u \leq 1, u ∣_{\partial Ω} = 0$ in two dimensions. We also prove a result on the propa…

math.AP2015★ 13 cited

Nonlinear Bounds in Hölder Spaces for the Monge-Ampère Equation

Alessio Figalli, Yash Jhaveri, Connor Mooney

We demonstrate that $C^{2, α}$ estimates for the Monge-Ampère equation depend in a highly nonlinear way both on the $C^{α}$ norm of the right-hand side and $1/ α$ . First, we show that…

math.AP2015★ 32 cited

Some singular minimizers in low dimensions in the calculus of variations

Connor Mooney, Ovidiu Savin

We construct a singular minimizing map $u$ from $R^{3}$ to $R^{2}$ of a smooth uniformly convex functional of the form $\int_{B_{1}} F (D u) d x$ .