In this note we describe a geometric problem leading to Monge-Ampere type operators. Some variational problems and theorems on their solvability are formulated.
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N. M. Ivochkina, “Description of cones of stability generated by Monge-Ampere type differential operators”, Mat. Sb.,122 (164), No. 2, 265–276 (1983).
N. M. Ivochkina, “Solution of the Dirichlet problem for Monge-Ampere type equations”, Mat. Sb.,128 (170), No. 3, 403–415 (1985).
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 167, pp. 186–189, 1988.
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Ivochkina, N.M. Variational problems connected with Monge-Ampere type operators. J Math Sci 52, 2861–2863 (1990). https://doi.org/10.1007/BF01099253
- Variational Problem
- Type Operator
- Geometric Problem