INVESTIGADORES
TOURNIER Federico
artículos
Título:
An Alexandrov type estimate for alpha convex functions
Autor/es:
CRISTIAN GUTIERREZ, FEDERICO TOURNIER
Revista:
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Editorial:
AMER MATHEMATICAL SOC
Referencias:
Año: 2010 p. 2001 - 2014
ISSN:
0002-9939
Resumen:
Abstract: In the context of alpha-convexity, using an operator similar to the Monge-Ampère operator based on the notion of normal mapping, we estimate the difference between a function u and the solution of the homogeneous problem U in terms of the measure of the normal mapping of u and a power of the distance to the boundary.