Homogeneous functions with nowhere-vanishing Hessian determinant Article Swipe

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Connor Mooney ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.4171/aihpc/78

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.

Related Topics

Mathematics

Mathematical Analysis

Combinatorics

Partial Differential Equation

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Hessian matrix Homogeneous Hessian equation Mathematics Mathematical analysis Combinatorics Applied mathematics Partial differential equation First-order partial differential equation

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Type: article
Language: en
Landing Page: https://doi.org/10.4171/aihpc/78
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Cited By: 2
Related Works: 10
OpenAlex ID: https://openalex.org/W4319437929

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DOI: https://doi.org/10.4171/aihpc/78

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Title: Homogeneous functions with nowhere-vanishing Hessian determinant

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Language: en

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Publication year: 2023

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Publication date: 2023-02-07

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Authors: Connor Mooney

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Landing page: https://doi.org/10.4171/aihpc/78

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Concepts: Hessian matrix, Homogeneous, Hessian equation, Mathematics, Mathematical analysis, Combinatorics, Applied mathematics, Partial differential equation, First-order partial differential equation

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Cited by: 2

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