RT Journal Article
T1 On the free boundary associated to the stationary Monge–Ampère operator on the set of non strictly convex functions
A1 Díaz Díaz, Gregorio
A1 Díaz Díaz, Jesús Ildefonso
AB This paper deals with several qualitative properties of solutions of some stationary equations associated to the Monge-Ampere operator on the set of convex functions which are not necessarily understood in a strict sense. Mainly, we focus our attention on the occurrence of a free boundary (separating the region where the solution u is locally a hyperplane, thus, the Hessian D(2)u is vanishing from the rest of the domain). In particular, our results apply to suitable formulations of the Gauss curvature flow and of the worn stones problems intensively studied in the literature.
PB American Institute of Mathematical Sciences
SN 1078-0947
YR 2015
FD 2015-04
LK https://hdl.handle.net/20.500.14352/22978
UL https://hdl.handle.net/20.500.14352/22978
LA eng
NO Unión Europea. FP7
NO Research Group MOMAT
NO UCM
NO DGISPI, Spain
DS Docta Complutense
RD 22 abr 2025