Geometric variational problems
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki", Tome 1 (1973), pp. 39-60
A. T. Fomenko. Geometric variational problems. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki", Tome 1 (1973), pp. 39-60. http://geodesic.mathdoc.fr/item/INTD_1973_1_a1/
@article{INTD_1973_1_a1,
     author = {A. T. Fomenko},
     title = {Geometric variational problems},
     journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
     pages = {39--60},
     year = {1973},
     volume = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTD_1973_1_a1/}
}
TY  - JOUR
AU  - A. T. Fomenko
TI  - Geometric variational problems
JO  - Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
PY  - 1973
SP  - 39
EP  - 60
VL  - 1
UR  - http://geodesic.mathdoc.fr/item/INTD_1973_1_a1/
LA  - ru
ID  - INTD_1973_1_a1
ER  - 
%0 Journal Article
%A A. T. Fomenko
%T Geometric variational problems
%J Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
%D 1973
%P 39-60
%V 1
%U http://geodesic.mathdoc.fr/item/INTD_1973_1_a1/
%G ru
%F INTD_1973_1_a1

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The article contains a survey of the present state-of-the-art of multidimensional calculus of variations which is of great theoretic and practical value. The presentation is grouped around the solution of the famous Bernstein problem on minimal hyper surfaces, and precisely for spaces of such dimension maximal hypersurfaces are hyperplanes. A description is given of the applicable methods of investigation.