English

An interior estimate for convex solutions and a rigidity theorem

Analysis of PDEs 2020-02-21 v1

Abstract

We establish an interior C2C^2 estimate for k+1k+1 convex solutions to Dirichlet problems of kk-Hessian equations. We also use such estimate to obtain a rigidity theorem for k+1k+1 convex entire solutions of kk-Hessian equations in Euclidean space.

Keywords

Cite

@article{arxiv.1504.01206,
  title  = {An interior estimate for convex solutions and a rigidity theorem},
  author = {MIng Li and Changyu Ren and Zhizhang Wang},
  journal= {arXiv preprint arXiv:1504.01206},
  year   = {2020}
}
R2 v1 2026-06-22T09:10:32.990Z