@article{SM_2002_193_6_a5,
author = {V. S. Klimov},
title = {Infinite-dimensional version of {Morse} theory for {Lipschitz} functionals},
journal = {Sbornik. Mathematics},
pages = {889--906},
year = {2002},
volume = {193},
number = {6},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2002_193_6_a5/}
}
V. S. Klimov. Infinite-dimensional version of Morse theory for Lipschitz functionals. Sbornik. Mathematics, Tome 193 (2002) no. 6, pp. 889-906. http://geodesic.mathdoc.fr/item/SM_2002_193_6_a5/
[1] Palais R. S., Smale S., “A generalized Morse theory”, Bull. Amer. Math. Soc. (N. S.), 70:1 (1964), 165–172 | DOI | MR | Zbl
[2] Skrypnik I. V., Nelineinye ellipticheskie uravneniya vysshego poryadka, Naukova dumka, Kiev, 1973 | MR
[3] Vainberg M. M., Variatsionnyi metod i metod monotonnykh operatorov v teorii nelineinykh uravnenii, Nauka, M., 1972 | MR | Zbl
[4] Bobylev N. A., Emelyanov S. V., Korovin S. K., Geometricheskie metody v variatsionnykh zadachakh, Magistr, M., 1998
[5] Pokhozhaev S. I., “O razreshimosti nelineinykh uravnenii s nechetnymi operatorami”, Funkts. analiz i ego prilozh., 1:3 (1967), 66–73 | MR | Zbl
[6] Browder F. E., “Nonlinear elliptic boundary value problems and the generalized topological degree”, Bull. Amer. Math. Soc. (N. S.), 76:5 (1970), 999–1005 | DOI | MR | Zbl
[7] Skrypnik I. V., Metody issledovaniya nelineinykh ellipticheskikh granichnykh zadach, Nauka, M., 1990 | MR
[8] Klimov V. S., “O topologicheskikh kharakteristikakh negladkikh funktsionalov”, Izv. RAN. Ser. matem., 62:5 (1998), 117–134 | MR | Zbl
[9] Klimov V. S., Senchakova N. V., “Ob otnositelnom vraschenii mnogoznachnykh potentsialnykh vektornykh polei”, Matem. sb., 182:10 (1991), 1393–1407 | MR
[10] Klimov V. S., “Beskonechnomernyi variant teoremy Puankare–Khopfa i gomologicheskie kharakteristiki funktsionalov”, Matem. sb., 192:1 (2001), 51–66 | MR | Zbl
[11] Borisovich Yu. G., Gelman B. D., Myshkis A. D., Obukhovskii V. V., “Topologicheskie metody v teorii nepodvizhnykh tochek mnogoznachnykh otobrazhenii”, UMN, 35:1 (1980), 59–126 | MR | Zbl
[12] Milnor Dzh., Uolles A., Differentsialnaya topologiya. Nachalnyi kurs, Mir, M., 1972 | MR | Zbl
[13] Krasnoselskii M. A., Zabreiko P. P., Geometricheskie metody nelineinogo analiza, Nauka, M., 1975 | MR
[14] Klark F., Optimizatsiya i negladkii analiz, Nauka, M., 1988 | MR | Zbl
[15] Massi U., Teoriya gomologii i kogomologii, Mir, M., 1981 | MR
[16] Dold A., Lektsii po algebraicheskoi topologii, Mir, M., 1976 | MR
[17] Dubrovin B. A., Novikov S. P., Fomenko A. T., Sovremennaya geometriya. Metody teorii gomologii, Nauka, M., 1984 | MR
[18] Ekland I., Temam R., Vypuklyi analiz i variatsionnye problemy, Mir, M., 1979 | MR
[19] Oben Zh. P., Ekland I., Prikladnoi nelineinyi analiz, Mir, M., 1988 | MR
[20] Ioffe A. D., Tikhomirov V. M., Teoriya ekstremalnykh zadach, Nauka, M., 1974 | MR | Zbl
[21] Sobolev S. L., nekotorye primeneniya funktsionalnogo analiza v matematicheskoi fizike, Nauka, M., 1988 | MR
[22] Mosolov P. P., Myasnikov V. P., Mekhanika zhestkoplasticheskikh sred, Nauka, M., 1981 | MR | Zbl