32 citations · 78 across the 23 of their papers we have counts for
32 papers
Regularity for the prescribed vertical mean curvature system in the plane
Jonas Hirsch, Connor Mooney, Riccardo Tione
We prove everywhere regularity for Lipschitz solutions to the prescribed vertical mean curvature system in the plane, where the codimension is arbitrary and the mean curvature is i…
A Multiwavelength Study of a Long-Duration VHE Flare from BL Lacertae with VERITAS
Atreya Acharyya, Avery Archer, Priyadarshini Bangale +72
We report the first observations of a long-duration very-high-energy (VHE; GeV) flare from BL Lacertae (VER J2202+422), taken with the Very Energetic Radiation Imaging Te…
On the Lawson-Osserman conjecture
Jonas Hirsch, Connor Mooney, Riccardo Tione
We prove that if is a Lipschitz critical point of the area functional with respect to outer variations, then is smooth.…
A VERITAS/Breakthrough Listen Search for Optical Technosignatures
Atreya Acharyya, Colin Adams, Avery Archer +65
The Breakthrough Listen Initiative is conducting a program using multiple telescopes around the world to search for "technosignatures": artificial transmitters of extraterrestrial…
Sobolev regularity for optimal transport maps of non-convex planar domains
Connor Mooney, Arghya Rakshit
We prove a sharp global estimate for potentials of optimal transport maps that take a certain class of non-convex planar domains to convex ones.
VERITAS discovery of very high energy gamma-ray emission from S3 1227+25 and multiwavelength observations
Atreya Acharyya, Colin Adams, Avery Archer +68
We report the detection of very high energy gamma-ray emission from the blazar S3 1227+25 (VER J1230+253) with the Very Energetic Radiation Imaging Telescope Array System (VERITAS)…
Bifurcation of homogenization and nonhomogenization of the curvature G-equation with shear flows
Hiroyoshi Mitake, Connor Mooney, Hung V. Tran +2
The level-set curvature G-equation, a well-known model in turbulent combustion, has the following form $G_t + \left(1-d\, \mathrm{dvi}\left({\frac{DG}{|DG|}}\right)\right)_+|DG|+V(…
Non solutions to the special Lagrangian equation
Connor Mooney, Ovidiu Savin
We construct viscosity solutions to the special Lagrangian equation that are Lipschitz but not .
The anisotropic Bernstein problem
Connor Mooney, Yang Yang
We construct nonlinear entire anisotropic minimal graphs over , completing the solution to the anisotropic Bernstein problem. The examples we construct have a variety…
Gradient estimates for the Lagrangian mean curvature equation with critical and supercritical phase
Arunima Bhattacharya, Connor Mooney, Ravi Shankar
In this paper, we prove interior gradient estimates for the Lagrangian mean curvature equation, if the Lagrangian phase is critical and supercritical and . Combined with the…
Singular structures in solutions to the Monge-Ampère equation with point masses
Connor Mooney, Arghya Rakshit
We construct new examples of Monge-Ampère metrics with polyhedral singular structures, motivated by problems related to the optimal transport of point masses and to mirror symmetry…
Homogeneous functions with nowhere vanishing Hessian determinant
Connor Mooney
We prove that functions that are homogeneous of degree on and have nowhere vanishing Hessian determinant cannot change sign.
Hilbert's problem revisited
Connor Mooney
In this survey article we revisit Hilbert's problem concerning the regularity of minimizers of variational integrals. We first discuss the classical theory (that i…
A proof by foliation that Lawson's cones are -minimizing
Connor Mooney, Yang Yang
We give a proof by foliation that the cones over minimize parametric elliptic functionals for each . We also analyze the behavior a…
Strict -convexity of convex solutions to the quadratic Hessian equation
Connor Mooney
We prove that convex viscosity solutions to the quadratic Hessian inequality are strictly -convex. As a consequence we obtain short proofs of smoothness and i…
Solutions to the Monge-Ampère equation with polyhedral and Y-shaped singularities
Connor Mooney
We construct convex functions on and that are smooth solutions to the Monge-Ampère equation away from compact one-dimensional singular…
Entire solutions to equations of minimal surface type in six dimensions
Connor Mooney
We construct nonlinear entire solutions in to equations of minimal surface type that correspond to parametric elliptic functionals.
Minimizers of convex functionals with small degeneracy set
Connor Mooney
We study the question whether Lipschitz minimizers of in are when is strictly convex. Building on work of De Silva-Savin, we confirm…
Sharpening the triangle inequality: envelopes between and spaces
Paata Ivanisvili, Connor Mooney
Motivated by the inequality , Carbery (2006) raised the question what is the "right" analogue of this estimate in $L^{…
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…
Regularity results for the equation
Connor Mooney, Ovidiu Savin
We study the equation in . Our results include an interior estimate, classical solvability of the Dirichlet problem, and the existence of non…
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 , which are exactly as irregular as par…
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…
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}…