A general existence theorem for multidimensional extremal problems
Sbornik. Mathematics, Tome 57 (1987) no. 2, pp. 455-461
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A general existence theorem is proved by multidimensional extremal problems, and it is then used to prove existence theorems for other extremal problems. Bibliography: 5 titles.
[1] Pontryagin L. S., Boltyanskii V. G., Gamkrelidze R. V., Mischenko E. F., Matematicheskaya teoriya optimalnykh protsessov, Nauka, M., 1969
[2] Guseinov F. V., Kharakterizatsiya konechnomernykh podprostranstv banakhovykh prostranstv $C$ i $L_{\infty}$, Rukopis dep. VINITI, No 2509-84 Dep.
[3] Sobolev S. L., Nekotorye primeneniya funktsionalnogo analiza v matematicheskoi fizike, Izd-vo SO AN SSSR, Novosibirsk, 1962
[4] Ivanov V. K., Vasin V. V., Tanana V. P., Teoriya lineinykh nekorrektnykh zadach i ee prilozheniya, Nauka, M., 1978 | MR