Some relations between fractional Laplace operators and Hessian operators

After recalling the many representations of the fractional Laplace operator and some of its important properties, some recent results (proved in a joint work with Bruno Franchi and Igor Verbitsky) about the relations between the k-Hessian energy of the k-Hessian operator of a k convex function vanis...

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Bibliographic Details
Main Author: Fausto Ferrari
Format: Article
Language:English
Published: University of Bologna 2011-12-01
Series:Bruno Pini Mathematical Analysis Seminar
Online Access:http://mathematicalanalysis.unibo.it/article/view/2668