Geodesic
On the spectral properties of the pencil of Monge-Amper non-linear equations in vector-functions spaces
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (1990), pp. 3-7 
G. V. Virabyan; G. A. Sargsian. On the spectral properties of the pencil of Monge-Amper non-linear equations in vector-functions spaces. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (1990), pp. 3-7. http://geodesic.mathdoc.fr/item/UZERU_1990_3_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The eigenvalue problem on Monge-Amper non-linear system of differential equations in Hilbert space of vector-functions has been considered in the article. The connection of this problem with the well-known Sobolev-Alexandrian operator has been revealed and the finite multiplicity and the real ness of the eigenvalues have been proved. The eigenvalues and the system of eigen vector-functions are given in explicit form, when the domain is a unit circle.

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[4] G. V. Virabyan, G. A. Sargsyan, “O zadache Dirikhle dlya uravneniya Monzha-Ampera”, Uch. zapiski EGU, 1990, no. 1 | MR

[5] G. S. Akopyan, “O spektralnykh svoistvakh puchka differentsialnykh operatorov v prostranstve vektor-funktsii”, DAN Arm. SSR, LXX:2 (1980) | Zbl