Tristan C. Collins

activity

20102026

most citedSasaki-Einstein metrics and K-stability

75 citations · 334 across the 43 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.AP2017★ 5 cited

Dimension of the minimum set for the real and complex Monge-Ampère equations in critical Sobolev spaces

Tristan C. Collins, Connor Mooney

We prove that the zero set of a nonnegative plurisubharmonic function that solves $det (\partial \partial u) \geq 1$ in $C^{n}$ and is in $W^{2, \frac{n(n-k)}{k}…

math.AP2016★ 4 cited

Concavity of the Lagrangian Phase Operator and Applications

Tristan C. Collins, Sebastien Picard, Xuan Wu

We study the Dirichlet problem for the Lagrangian phase operator, in both the real and complex setting. Our main result states that if $Ω$ is a compact domain in $R^{n}$ o…

math.AP2015

$C^{2, α}$ estimates for nonlinear elliptic equations of twisted type

Tristan C. Collins

We prove a priori interior $C^{2, α}$ estimates for solutions of fully nonlinear elliptic equations of twisted type. For example, our estimates apply to equations of the type convex…

Dimension of the minimum set for the real and complex Monge-Ampère equations in critical Sobolev spaces

Concavity of the Lagrangian Phase Operator and Applications

C2,α estimates for nonlinear elliptic equations of twisted type

$C^{2, α}$ estimates for nonlinear elliptic equations of twisted type