English

Rigidity for general semiconvex entire solutions to the sigma-2 equation

Analysis of PDEs 2021-08-03 v1

Abstract

We show that every general semiconvex entire solution to the sigma-2 equation is a quadratic polynomial. A decade ago, this result was shown for almost convex solutions.

Keywords

Cite

@article{arxiv.2108.00093,
  title  = {Rigidity for general semiconvex entire solutions to the sigma-2 equation},
  author = {Ravi Shankar and Yu Yuan},
  journal= {arXiv preprint arXiv:2108.00093},
  year   = {2021}
}