English

Homogeneous functions with nowhere vanishing Hessian determinant

Analysis of PDEs 2022-01-05 v1

Abstract

We prove that functions that are homogeneous of degree α(0,1)\alpha \in (0,\,1) on Rn\mathbb{R}^n and have nowhere vanishing Hessian determinant cannot change sign.

Cite

@article{arxiv.2201.01260,
  title  = {Homogeneous functions with nowhere vanishing Hessian determinant},
  author = {Connor Mooney},
  journal= {arXiv preprint arXiv:2201.01260},
  year   = {2022}
}

Comments

6 pages

R2 v1 2026-06-24T08:40:05.312Z