Schauder estimates for degenerate Monge – Ampère equations and smoothness of the eigenfunctions

Content Provider	Semantic Scholar
Author	Savin, Ovidiu
Copyright Year	2016
Abstract	We obtainC2,β estimates up to the boundary for solutions to degenerate Monge–Ampère equations of the type det D2u = f in , f ∼ distα(·, ∂ ) near ∂ , α > 0. As a consequence we obtain global C∞ estimates up to the boundary for the eigenfunctions of the Monge–Ampère operator (det D2u)1/n on smooth, bounded, uniformly convex domains in Rn .
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://pages.iu.edu/~nqle/Le_Savin_4.pdf
Language	English
Access Restriction	Open
Subject Keyword	Abnormal degeneration Estimated Solutions Uniformly convex space diethyltoluamide
Content Type	Text
Resource Type	Article