Pogorelov type $C^2$ estimates for Sum Hessian equations and a rigidity theorem
Analysis of PDEs
2022-04-08 v1
Abstract
We mainly study Pogorelov type estimates for solutions to the Dirichlet problem of Sum Hessian equations. We establish respectively Pogorelov type estimates for -convex solutions and admissible solutions under some conditions. Furthermore, we apply such estimates to obtain a rigidity theorem for -convex solutions of Sum Hessian equations in Euclidean space.
Cite
@article{arxiv.2204.03135,
title = {Pogorelov type $C^2$ estimates for Sum Hessian equations and a rigidity theorem},
author = {Yue Liu and Changyu Ren},
journal= {arXiv preprint arXiv:2204.03135},
year = {2022}
}
Comments
27 pages