Geodesic
The existence of a convex surface with given integral curvature in elliptic space and the solvability of Monge--Amp\`ere equations
Doklady Akademii Nauk, Tome 257 (1981) no. 5, pp. 1052-1055.

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@article{DAN_1981_257_5_a5,
     author = {G. Ya. Kaplunovich},
     title = {The existence of a convex surface with given integral curvature in elliptic space and the solvability of {Monge--Amp\`ere} equations},
     journal = {Doklady Akademii Nauk},
     pages = {1052--1055},
     publisher = {mathdoc},
     volume = {257},
     number = {5},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DAN_1981_257_5_a5/}
}
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G. Ya. Kaplunovich. The existence of a convex surface with given integral curvature in elliptic space and the solvability of Monge--Amp\`ere equations. Doklady Akademii Nauk, Tome 257 (1981) no. 5, pp. 1052-1055. http://geodesic.mathdoc.fr/item/DAN_1981_257_5_a5/