@Article{ATA-39-2,
author = {Xu, Lu and Yan, Bianlian},
title = {Weak Harnack Inequalities for Eigenvalues and the Monotonicity of Hessian's Rank},
journal = {Analysis in Theory and Applications},
year = {2023},
volume = {39},
number = {2},
pages = {147--162},
abstract = {<p style="text-align: justify;">We study microscopic convexity properties of convex solutions of fully nonlinear parabolic equations under a structural condition introduced by Bian-Guan. We prove weak Harnack inequalities for the eigenvalues of the spatial Hessian of solutions and obtain the monotonicity of Hessian’s rank with respect to time.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-2021-0048},
url = {https://global-sci.com/article/73731/weak-harnack-inequalities-for-eigenvalues-and-the-monotonicity-of-hessians-rank}
}