A maximum rank problem for degenerate elliptic fully nonlinear equations
Analysis of PDEs
2010-10-12 v2 Complex Variables
Abstract
The solutions to the Dirichlet problem for two degenerate elliptic fully nonlinear equations in dimensions, namely the real Monge-Amp\`ere equation and the Donaldson equation, are shown to have maximum rank in the space variables when . A constant rank property is also established for the Donaldson equation when .
Cite
@article{arxiv.1009.3975,
title = {A maximum rank problem for degenerate elliptic fully nonlinear equations},
author = {Pengfei Guan and D. H. Phong},
journal= {arXiv preprint arXiv:1009.3975},
year = {2010}
}