AN ALEKSANDROV TYPE ESTIMATE FOR alpha-CONVEX FUNCTIONS

作者:Gutierrez Cristian E*; Tournier Federico
来源:Proceedings of the American Mathematical Society, 2010, 138(6): 2001-2014.
DOI:10.1090/S0002-9939-10-10255-X

摘要

In the context of alpha-convexity, using an operator similar to the Monge-Ampere 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.

  • 出版日期2010-6