Geodesic
On New Functional Characteristics of Domains $\Omega\in\mathbb R^n$
Matematičeskie zametki, Tome 112 (2022) no. 1, pp. 61-75 Cet article a éte moissonné depuis la source Math-Net.Ru

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A system of new differential-geometric notions as the result of an analysis of the Trudinger–Wang inequalities is proposed. Their naturalness in multivariate analysis and geometry is exhibited by an example of a model problem for the ball. New directions in the development of the theory of Hessian operators and their connection with geometry are noted.
Mots-clés : Hesse matrix, Hessian dilation.
Keywords: domain mediators 
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N. M. Ivochkina; S. I. Prokof'eva; G. V. Yakunina. On New Functional Characteristics of Domains $\Omega\in\mathbb R^n$. Matematičeskie zametki, Tome 112 (2022) no. 1, pp. 61-75. http://geodesic.mathdoc.fr/item/MZM_2022_112_1_a5/

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