Homogeneous functions with nowhere vanishing Hessian determinant
Abstract
We prove that functions that are homogeneous of degree $\alpha \in (0,\,1)$ on $\mathbb{R}^n$ and have nowhere vanishing Hessian determinant cannot change sign.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2022
- DOI:
- 10.48550/arXiv.2201.01260
- arXiv:
- arXiv:2201.01260
- Bibcode:
- 2022arXiv220101260M
- Keywords:
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- Mathematics - Analysis of PDEs
- E-Print:
- 6 pages