Geodesic
A description of the stability cones generated by differential operators of Monge–Ampère type
Sbornik. Mathematics, Tome 50 (1985) no. 1, pp. 259-268 Cet article a éte moissonné depuis la source Math-Net.Ru

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     title = {A description of the stability cones generated by differential operators of {Monge{\textendash}Amp\`ere} type},
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     url = {http://geodesic.mathdoc.fr/item/SM_1985_50_1_a16/}
}
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N. M. Ivochkina. A description of the stability cones generated by differential operators of Monge–Ampère type. Sbornik. Mathematics, Tome 50 (1985) no. 1, pp. 259-268. http://geodesic.mathdoc.fr/item/SM_1985_50_1_a16/

[1] Minkowski H., “Volumen und Oberfläche”, Math. Ann., 1903, no. 57, 447–495 | DOI | MR | Zbl

[2] Lewy H., “A priori limitations for solutions of Monge–Ampère equations”, Trans. Amer. Math. Soc., 37 (1935), 417–434 | DOI | MR | Zbl

[3] Aleksandrov A. D., “K teorii smeshannykh ob'emov vypuklykh tel”, Matem. sb., 2 (44) (1937), 947–972 ; 3 (45) (1938), 27–46 | Zbl

[4] Aleksandrov A. D., “Zadacha Dirikhle dlya uravneniya $\mathrm{Det}\|z_{ij}\|=\psi(z_1,\dots,z_n,z,x_1,\dots,x_n)$”, Vestn. LGU, 1958, no. 1, 5–24 | Zbl

[5] Calabi E., “Improper affine hyperspheres of convex type and a generalizations of theorem by K. Iörgens”, Michigan Math. J., 5 (1958), 105–126 | DOI | MR | Zbl

[6] Pogorelov A. V., Mnogomernaya problema Minkovskogo, Nauka, M., 1975 | MR | Zbl

[7] Ladyzhenskaya O. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1973 | MR

[8] Ivochkina N. M., “Integralnyi metod barernykh funktsii i zadacha Dirikhle dlya uravnenii s operatorami tipa Monzha–Ampera”, Matem. sb., 112 (154) (1980), 193–206 | MR | Zbl

[9] Ivochkina N. M., “Apriornaya otsenka $\|u\|_{C^2}$ vypuklykh reshenii zadachi Dirikhle dlya uravnenii Monzha–Ampera”, Zap. nauch. semin. LOMI, 96 (1980), 69–79 | MR | Zbl

[10] Ivochkina N. M., “Reshenie zadachi Dirikhle dlya uravneniya Monzha–Ampera v vesovykh prostranstvakh”, Zap. nauch. semin. LOMI, 115 (1982), 97–103 | MR | Zbl

[11] Khardi G. G., Littlvud D. E., Polia G., Neravenstva, Gos. izd-vo inostrannoi lit., M., 1948

[12] Postnikov M. M., Ustoichivye mnogochleny, Nauka, M., 1981 | MR

[13] Markus M. M., Mink X., Obzor po teorii matrits i matrichnykh neravenstv, Nauka, M., 1972 | MR