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 2018Show all

3 papers · 1 filter

math.AP2018

A proof of the Krylov-Safonov theorem without localization

Connor Mooney

The Krylov-Safonov theorem says that solutions to non-divergence uniformly elliptic equations with rough coefficients are Hölder continuous. The proof combines a basic measure esti…

math.AP2018

Regularity results for the equation $u_{11} u_{22} = 1$

Connor Mooney, Ovidiu Savin

We study the equation $u_{11} u_{22} = 1$ in $R^{2}$ . Our results include an interior $C^{2}$ estimate, classical solvability of the Dirichlet problem, and the existence of non…

math.AP2018

Singularities of complex-valued solutions to linear parabolic equations

Connor Mooney

We construct examples of blowup from smooth data for complex-valued solutions to linear uniformly parabolic equations in dimension $n \geq 2$ , which are exactly as irregular as par…

A proof of the Krylov-Safonov theorem without localization

Regularity results for the equation u11​u22​=1

Singularities of complex-valued solutions to linear parabolic equations

Regularity results for the equation $u_{11} u_{22} = 1$