Geodesic
Solution of the Dirichlet problem for curvature equations of order $m$
Sbornik. Mathematics, Tome 67 (1990) no. 2, pp. 317-339 Cet article a éte moissonné depuis la source Math-Net.Ru

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Solvability conditions for curvature equations of order which are sufficient, and almost necessary, are obtained, and theorems concerning the existence of solutions in $C^{l+2+\alpha}(\overline\Omega)$, $l\geqslant2$, $0<\alpha<1$, are proved. The first-order curvature equation coincides with the curvature equation of order $m$, and the curvature equation of order $n$ with the Monge–Ampère equation. Bibliography: 18 titles. 
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     title = {Solution of the {Dirichlet} problem for curvature equations of order~$m$},
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     url = {http://geodesic.mathdoc.fr/item/SM_1990_67_2_a0/}
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N. M. Ivochkina. Solution of the Dirichlet problem for curvature equations of order $m$. Sbornik. Mathematics, Tome 67 (1990) no. 2, pp. 317-339. http://geodesic.mathdoc.fr/item/SM_1990_67_2_a0/

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