Homogeneous solutions of extremal Pucci's equations in planar cones
Analysis of PDEs
2016-08-09 v1
Abstract
We derive explicit expressions of the homogeneous solutions in two dimensional cones for Pucci's extremal equations. As examples of possible applications, we obtain monotonicity formulas for all nonnegative supersolutions and necessary and sufficient explicit conditions for non--existence results of Liouville type.
Keywords
Cite
@article{arxiv.1608.02152,
title = {Homogeneous solutions of extremal Pucci's equations in planar cones},
author = {Fabiana Leoni},
journal= {arXiv preprint arXiv:1608.02152},
year = {2016}
}
Comments
14 pages, 2 figures