A Monge–Ampere Equation with an Unusual Boundary Condition

We consider a class of Monge–Ampere equations where the convex conjugate of the unknown function is prescribed on a boundary of its domain yet to be determined. We show the existence of a weak solution.

Bibliographic Details
Main Author: Marc Sedjro
Format: Article
Language:English
Published: MDPI AG 2015-11-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/7/4/2009