A remark on minimal Lagrangian diffeomorphisms and the Monge-Ampere equation

被引：2

作者：

Urbas, John ^{[1
]}

机构：

[1] Australian Natl Univ, Inst Math Sci, Ctr Math Applicat, Canberra, ACT 0200, Australia

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2007年 / 76卷 / 02期

关键词：

BOUNDARY-VALUE PROBLEM;

D O I：

10.1017/S0004972700039605

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a counterexample to a theorem of Jon Wolfson concerning the existence of globally smooth solutions of the second boundary value problem for Monge-Ampere equations in two dimensions, or equivalently, on the existence of minimal Lagrangian diffeomorphisms between simply connected domains in R-2.

引用

页码：215 / 218

页数：4

共 6 条

[1] POLAR FACTORIZATION AND MONOTONE REARRANGEMENT OF VECTOR-VALUED FUNCTIONS [J].