Geodesic
The integral method of barrier functions and the Dirichlet problem for equations with operators of Monge–Ampère type
Sbornik. Mathematics, Tome 40 (1981) no. 2, pp. 179-192 Cet article a éte moissonné depuis la source Math-Net.Ru

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A priori boundedness of the solution of the Dirichlet problem is proved for the equation $F(m;u)=f(x,u,u_x)$, where $F(m;u)$ is the sum of all principal minors of order $m$ in the Hessian $\det(u_{xx})$. The boundedness in question is relative to the $C^2(\Omega)$-norm and is demonstrated by combining the methods of integral inequalities and barrier functions. Bibliography: 7 titles. 
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     title = {The integral method of barrier functions and the {Dirichlet} problem for equations with operators of {Monge{\textendash}Amp\`ere} type},
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N. M. Ivochkina. The integral method of barrier functions and the Dirichlet problem for equations with operators of Monge–Ampère type. Sbornik. Mathematics, Tome 40 (1981) no. 2, pp. 179-192. http://geodesic.mathdoc.fr/item/SM_1981_40_2_a3/

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