Geodesic
Estimates for solutions of quasilinear elliptic equations connected with problems of geometry “in the large”
Sbornik. Mathematics, Tome 20 (1973) no. 3, pp. 348-363 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The following questions are presented in this paper. 1. A geometric method for obtaining two-sided estimates for general quasilinear elliptic equations and its applications to problems of the calculus of variations and the problem of recovering a hypersurface from its mean curvature in spaces of constant curvature. 2. Estimates of the modulus of the gradient for a hypersurface with boundary in a Riemannian space by means of its mean curvature and the metric tensor of the space. 3. Estimates of the modulus of the gradient of a hypersurface depending on the distance of a point from the boundary and its mean curvature in Euclidean space. Estimates of these three types are of independent interest and play a fundamental role in the proofs of existence theorems for a hypersurface with prescribed mean curvature in Riemannian spaces. Bibliography: 3 titles. 
@article{SM_1973_20_3_a2,
     author = {I. Ya. Bakelman and B. E. Kantor},
     title = {Estimates for solutions of quasilinear elliptic equations connected with problems of geometry {\textquotedblleft}in the large{\textquotedblright}},
     journal = {Sbornik. Mathematics},
     pages = {348--363},
     year = {1973},
     volume = {20},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1973_20_3_a2/}
}
TY  - JOUR
AU  - I. Ya. Bakelman
AU  - B. E. Kantor
TI  - Estimates for solutions of quasilinear elliptic equations connected with problems of geometry “in the large”
JO  - Sbornik. Mathematics
PY  - 1973
SP  - 348
EP  - 363
VL  - 20
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/SM_1973_20_3_a2/
LA  - en
ID  - SM_1973_20_3_a2
ER  - 
%0 Journal Article
%A I. Ya. Bakelman
%A B. E. Kantor
%T Estimates for solutions of quasilinear elliptic equations connected with problems of geometry “in the large”
%J Sbornik. Mathematics
%D 1973
%P 348-363
%V 20
%N 3
%U http://geodesic.mathdoc.fr/item/SM_1973_20_3_a2/
%G en
%F SM_1973_20_3_a2
I. Ya. Bakelman; B. E. Kantor. Estimates for solutions of quasilinear elliptic equations connected with problems of geometry “in the large”. Sbornik. Mathematics, Tome 20 (1973) no. 3, pp. 348-363. http://geodesic.mathdoc.fr/item/SM_1973_20_3_a2/

[1] I. Ya. Bakelman, “Giperpoverkhnosti s dannoi srednei kriviznoi i kvazilineinye ellipticheskie uravneniya s silnymi nelineinostyami”, Matem. sb., 75 (117) (1968), 604–638 | MR

[2] I. Ya. Bakelman, “Geometricheskie voprosy kvazilineinykh ellipticheskikh uravnenii”, Uspekhi matem. nauk, XXV:3 (153) (1970), 49–112 | MR

[3] S. Khelgason, Differentsialnaya geometriya i simmetricheskie prostranstva, izd-vo «Mir», Moskva, 1964