首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Sur les equations de Monge-Ampere. I
Authors:Pierre-Louis Lions
Institution:(1) Ceremade Université Paris IX-Dauphine, Place de Lattre de Tassigny, F-75775 Paris Cedex 16
Abstract:In this paper we study the real Monge-Arapère equations: det(D2u)= f(x) in 0, u convex in 0, u=0 on part0, and we introduce a new method for solving these equations which enables us to show the existence of regular solutions. This method uses only p.d.e. techniques and does not use any geometrical results. Furthermore, it enables us to solve quasilinear Monge-Ampère equations.
Keywords:
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号