Geodesic
Solvability of boundary-value problems for non-divergent nonlinear elliptic equations
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 11, Tome 84 (1979), pp. 243-251

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The topological characteristic of general nonlinear elliptic problems is introduced. The solvability of the Dirichlet problem for Monge–Ampere equation and the solvability of the general nonlinear Dirichlet problem in a thin layer are established. 
@article{ZNSL_1979_84_a17,
     author = {I. V. Skrypnik},
     title = {Solvability of boundary-value problems for non-divergent nonlinear elliptic equations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {243--251},
     publisher = {mathdoc},
     volume = {84},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_84_a17/}
}
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I. V. Skrypnik. Solvability of boundary-value problems for non-divergent nonlinear elliptic equations. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 11, Tome 84 (1979), pp. 243-251. http://geodesic.mathdoc.fr/item/ZNSL_1979_84_a17/