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：
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.
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页码：215 / 218
页数：4
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