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math.AP2017★ 1 cited
An obstacle problem for conical deformations of thin elastic sheets
Alessio Figalli, Connor Mooney
A developable cone ("d-cone") is the shape made by an elastic sheet when it is pressed at its center into a hollow cylinder by a distance . Starting from a nonlinear model depen…
math.AP2017
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 in and is in $W^{2, \frac{n(n-k)}{k}…