Para depositar en Docta Complutense, identifícate con tu correo @ucm.es en el SSO institucional: Haz clic en el desplegable de INICIO DE SESIÓN situado en la parte superior derecha de la pantalla. Introduce tu correo electrónico y tu contraseña de la UCM y haz clic en el botón MI CUENTA UCM, no autenticación con contraseña.
 

On the free boundary associated to the stationary Monge–Ampère operator on the set of non strictly convex functions

Loading...
Thumbnail Image

Full text at PDC

Publication date

2015

Advisors (or tutors)

Editors

Journal Title

Journal ISSN

Volume Title

Publisher

American Institute of Mathematical Sciences
Citations
Google Scholar

Citation

Abstract

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.

Research Projects

Organizational Units

Journal Issue

Description

Keywords

Collections