Homogeneous functions with nowhere vanishing Hessian determinant

DOI10.4171/AIHPC/78arXiv2201.01260OpenAlexW4319437929MaRDI QIDQ6387497

Connor Mooney

Publication date: 4 January 2022

Abstract: We prove that functions that are homogeneous of degree $alphain(0,,1)$ on $mathbb{R}^n$ and have nowhere vanishing Hessian determinant cannot change sign.

Full work available at URL: https://doi.org/10.4171/aihpc/78

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

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