A maximum rank problem for degenerate elliptic fully nonlinear equations

被引：0
作者：
Pengfei Guan
D. H. Phong
机构：
[1] McGill University,Department of Mathematics
[2] Columbia University,Department of Mathematics
来源：
Mathematische Annalen | 2012年 / 354卷
关键词：
Riemannian Manifold; Nonlinear Equation; Dirichlet Problem; Interior Point; Free Boundary Problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The solutions to the Dirichlet problem for two degenerate elliptic fully nonlinear equations in n + 1 dimensions, namely the real Monge–Ampère equation and the Donaldson equation, are shown to have maximum rank in the space variables when n ≤ 2. A constant rank property is also established for the Donaldson equation when n = 3.
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页码：147 / 169
页数：22
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