On the oblique boundary value problems for Monge-Ampère equations

Song-Ying Li

Vol. 190 (1999), No. 1, 155–172

DOI: 10.2140/pjm.1999.190.155

Abstract

The paper provides a sufficient condition on the oblique derivative. Under this condition, an existence, uniqueness and regularity theorem is proved for the oblique boundary value problem of Monge-Ampère equations in a smoothly bounded strictly convex domain in Eulidean spaces.

Milestones

Received: 7 March 1997

Revised: 5 October 1998

Published: 1 September 1999