On the Free Boundary Associated with the Stationary Monge – Ampère Operator on the Set of Non Strictly Convex Functions

@inproceedings{Daz2014OnTF,
  title={On the Free Boundary Associated with the Stationary Monge – Amp{\`e}re Operator on the Set of Non Strictly Convex Functions},
  author={Gregorio D́ıaz and Jes{\'u}s Ildefonso D́ıaz},
  year={2014}
}
  • Gregorio D́ıaz, Jesús Ildefonso D́ıaz
  • Published 2014
This paper deals with several qualitative properties of solutions of some stationary equations associated to the Monge–Ampère 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… CONTINUE READING