Homogeneous functions with nowhere-vanishing Hessian determinant

Connor Mooney

doi:10.4171/aihpc/78

JournalsaihpcVol. 41, No. 3pp. 555–564

Homogeneous functions with nowhere-vanishing Hessian determinant

Connor Mooney
University of California, Irvine, United States of America

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Abstract

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

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Connor Mooney, Homogeneous functions with nowhere-vanishing Hessian determinant. Ann. Inst. H. Poincaré Anal. Non Linéaire 41 (2024), no. 3, pp. 555–564

DOI 10.4171/AIHPC/78