A constant rank theorem for partial convex solutions of partial differential equations
Analysis of PDEs
2010-05-04 v1
Abstract
Thanks to the test function of Bian-Guan[2], we successfully obtain a constant rank theorem for partial convex solutions of a class partial differential equations. This is the microscopic version of the macroscopic partial convexity principle in [1], and also is a generalization of the result in [2].
Cite
@article{arxiv.1005.0241,
title = {A constant rank theorem for partial convex solutions of partial differential equations},
author = {Chuanqiang Chen},
journal= {arXiv preprint arXiv:1005.0241},
year = {2010}
}
Comments
24 pages