Geodesic
On New Functional Characteristics of Domains $\Omega\in\mathbb R^n$
Matematičeskie zametki, Tome 112 (2022) no. 1, pp. 61-75

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{MZM_2022_112_1_a5,
     author = {N. M. Ivochkina and S. I. Prokof'eva and G. V. Yakunina},
     title = {On {New} {Functional} {Characteristics} of {Domains} $\Omega\in\mathbb R^n$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {61--75},
     publisher = {mathdoc},
     volume = {112},
     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_112_1_a5/}
}
TY  - JOUR
AU  - N. M. Ivochkina
AU  - S. I. Prokof'eva
AU  - G. V. Yakunina
TI  - On New Functional Characteristics of Domains $\Omega\in\mathbb R^n$
JO  - Matematičeskie zametki
PY  - 2022
SP  - 61
EP  - 75
VL  - 112
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2022_112_1_a5/
LA  - ru
ID  - MZM_2022_112_1_a5
ER  - 
%0 Journal Article
%A N. M. Ivochkina
%A S. I. Prokof'eva
%A G. V. Yakunina
%T On New Functional Characteristics of Domains $\Omega\in\mathbb R^n$
%J Matematičeskie zametki
%D 2022
%P 61-75
%V 112
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2022_112_1_a5/
%G ru
%F MZM_2022_112_1_a5
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/