Open Access𝐶^{1,1} regularity for an obstacle problem of Hessian equations on Riemannian manifolds
Author(s) -
Heming Jiao
Publication year - 2016
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/12988
Subject(s) - algorithm , computer science , annotation , mathematics , artificial intelligence
In this paper, we study an obstacle problem for a class of fully nonlinear equations on Riemannian manifolds. Using some new ideas, the C 1 , 1 C^{1,1} regularity for the greatest viscosity solution is established under essentially optimal structure conditions.