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math.AP2015
Lipschitz Changes of Variables between Perturbations of Log-concave Measures
Maria Colombo, Alessio Figalli, Yash Jhaveri
Extending a result of Caffarelli, we provide global Lipschitz changes of variables between compactly supported perturbations of log-concave measures. The result is based on a combi…
math.AP2015★ 13 cited
Nonlinear Bounds in Hölder Spaces for the Monge-Ampère Equation
Alessio Figalli, Yash Jhaveri, Connor Mooney
We demonstrate that estimates for the Monge-Ampère equation depend in a highly nonlinear way both on the norm of the right-hand side and . First, we show that…