Homogeneous functions with nowhere-vanishing Hessian determinant

  • Connor Mooney

    University of California, Irvine, United States of America
Homogeneous functions with nowhere-vanishing Hessian determinant cover
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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 this article

Connor Mooney, Homogeneous functions with nowhere-vanishing Hessian determinant. Ann. Inst. H. Poincaré Anal. Non Linéaire (2023),

DOI 10.4171/AIHPC/78