Geodesic
The Extended Legendre Transform and Related Variational Principles
Matematičeskie zametki, Tome 107 (2020) no. 3, pp. 323-340

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

Variational principles for functionals on the space $C(X)$ of continuous functions that can be written as a representation of a functional in the form of the Legendre transform of the dual functional are considered. The formula of the Legendre transform determines a functional on wider sets of functions, and this functional is called the extended Legendre transform. Functionals that can be represented in the form of the extended Legendre transform are described. Applications to the problem of finding the spectral radius of functional operators are given.
Mots-clés : Legendre transform
Keywords: variational principle, spectral radius. 
@article{MZM_2020_107_3_a0,
     author = {A. B. Antonevich and E. U. Leonova},
     title = {The {Extended} {Legendre} {Transform} and {Related} {Variational} {Principles}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {323--340},
     publisher = {mathdoc},
     volume = {107},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_107_3_a0/}
}
TY  - JOUR
AU  - A. B. Antonevich
AU  - E. U. Leonova
TI  - The Extended Legendre Transform and Related Variational Principles
JO  - Matematičeskie zametki
PY  - 2020
SP  - 323
EP  - 340
VL  - 107
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2020_107_3_a0/
LA  - ru
ID  - MZM_2020_107_3_a0
ER  - 
%0 Journal Article
%A A. B. Antonevich
%A E. U. Leonova
%T The Extended Legendre Transform and Related Variational Principles
%J Matematičeskie zametki
%D 2020
%P 323-340
%V 107
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2020_107_3_a0/
%G ru
%F MZM_2020_107_3_a0
A. B. Antonevich; E. U. Leonova. The Extended Legendre Transform and Related Variational Principles. Matematičeskie zametki, Tome 107 (2020) no. 3, pp. 323-340. http://geodesic.mathdoc.fr/item/MZM_2020_107_3_a0/