Geodesic
Solutions of the trivial Monge–Ampèr equation with isolated singular points
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 740-743 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We study the existence of global solutions of the trivial Monge–Ampèr equation over the plane with deleted isolated points.
Keywords: zero curvature surfaces, singular points, global existence and smoothness. 
@article{SEMR_2016_13_a52,
     author = {Idzhad Kh. Sabitov},
     title = {Solutions of the trivial {Monge{\textendash}Amp\`er} equation with isolated singular points},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {740--743},
     year = {2016},
     volume = {13},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a52/}
}
TY  - JOUR
AU  - Idzhad Kh. Sabitov
TI  - Solutions of the trivial Monge–Ampèr equation with isolated singular points
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2016
SP  - 740
EP  - 743
VL  - 13
UR  - http://geodesic.mathdoc.fr/item/SEMR_2016_13_a52/
LA  - ru
ID  - SEMR_2016_13_a52
ER  - 
%0 Journal Article
%A Idzhad Kh. Sabitov
%T Solutions of the trivial Monge–Ampèr equation with isolated singular points
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2016
%P 740-743
%V 13
%U http://geodesic.mathdoc.fr/item/SEMR_2016_13_a52/
%G ru
%F SEMR_2016_13_a52
Idzhad Kh. Sabitov. Solutions of the trivial Monge–Ampèr equation with isolated singular points. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 740-743. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a52/

[1] Sabitov I. Kh., “On solutions in whole of the trivial Monge–Ampèr equation”, Modern problems in Mathematics, Mechanics and their applications, International conference dedicated to 70th anniversary of MSU rector academician V. A. Sadovnichy, University book, M., 2009, 200

[2] Sabitov I. Kh., “Isometric Immersions and Embeddings of Locally Euclidean Metrics”, Reviews in Mathematics and Mathematical Physics, 13:1 (2009), 276 | MR

[3] Sabitov I. Kh., “Manifolds and surfaces with locally Euclidean metric”, Geometry in whole, topology and their, applications, Acta, Kharkiv, 2010, 124–140

[4] Sabitov I. Kh., “Isolated singular points of solutions of the trivial Monge–Ampèr equation”, Theory of operators, complex analysis and mathematical modeling, Abstracts of the International scientific conference (village Divnomorsk, September 7–13, 2014), 61–62 | Zbl

[5] Sabitov I. Kh., “Global solutions of the trivial Monge–Ampèr equation with isolated singularities”, Geometry in Odessa-2015, Abstracts of the International conference (May 25–31, 2015), 86 | Zbl

[6] Sabitov I. Kh., “Manifolds and surfaces with locally Euclidean metrics”, Days of Geometry in Novosibirsk-2015, Abstracts of the International conference (August 26–29, 2015), 45–46 | Zbl

[7] José Galvez, Existence, A personal communication, 2016