The obstacle problem for Monge-Ampère type equations in non-convex domains

Jingang Xiong, Jiguang Bao
2010 Communications on Pure and Applied Analysis  
In this paper, we consider the obstacle problem for Monge-Apmère type equations which include prescribed Gauss curvature equation as a special case. We establish C 1,1 regularity of the greatest viscosity solution in nonconvex domains. 2000 Mathematics Subject Classification. Primary: 35J60; Secondary: 35R35.
doi:10.3934/cpaa.2011.10.59 fatcat:luvzakn25zeutkgzdauswwi6be