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@article{MZM_2002_72_5_a7, author = {V. S. Klimov}, title = {Type {Numbers} of {Critical} {Points} for {Nonsmooth} {Functionals}}, journal = {Matemati\v{c}eskie zametki}, pages = {693--705}, publisher = {mathdoc}, volume = {72}, number = {5}, year = {2002}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2002_72_5_a7/} }
V. S. Klimov. Type Numbers of Critical Points for Nonsmooth Functionals. Matematičeskie zametki, Tome 72 (2002) no. 5, pp. 693-705. http://geodesic.mathdoc.fr/item/MZM_2002_72_5_a7/
[1] Zeifert G., Trelfall V., Variatsionnoe ischislenie v tselom, IL, M., 1947
[2] Skrypnik I. V., “Razreshimost i svoistva reshenii nelineinykh ellipticheskikh uravnenii”, Itogi nauki i tekhniki. Sovremennye problemy matematiki, 9, VINITI, M., 1976, 131–254
[3] Skrypnik I. V., Nelineinye ellipticheskie uravneniya vysshego poryadka, Naukova dumka, Kiev, 1973
[4] Dubrovin B. A., Novikov S. P., Fomenko A. T., Sovremennaya geometriya. Metody teorii gomologii, Nauka, M., 1984
[5] Bobylev N. A., Emelyanov S. V., Korovin S. K., Geometricheskie metody v variatsionnykh zadachakh, Izd-vo “Magistr”, M., 1998
[6] Pokhozhaev S. I., “O razreshimosti nelineinykh uravnenii s nechetnymi operatorami”, Funktsion. analiz i ego prilozh., 1:3 (1967), 66–73 | MR | Zbl
[7] Browder F. E., “Nonlinear elliptic boundary value problems and the generalized topological degree”, Bull. Amer. Math. Soc., 76:5 (1970), 999–1005 | DOI | MR | Zbl
[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
[10] Oben Zh. P., Ekland I., Prikladnoi nelineinyi analiz, Mir, M., 1988
[11] Borisovich Yu. G., “Ob otnositelnom vraschenii kompaktnykh vektornykh polei v lineinykh prostranstvakh”, Tr. seminara po funkts. analizu, no. 12, Izd-vo Voronezhskogo un-ta, Voronezh, 1969, 3–27
[12] 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
[13] Dmitruk A. V., Milyutin A. A., Osmolovskii N. P., “Teorema Lyusternika i teoriya ekstremuma”, UMN, 35:6 (1980), 11–46 | MR | Zbl
[14] Klark F., Optimizatsiya i negladkii analiz, Nauka, M., 1988 | Zbl
[15] Klimov V. S., “Minimaksnye kriticheskie znacheniya negladkikh funktsionalov”, Sib. matem. zh., 33:3 (1992), 91–100 | MR | Zbl
[16] Dold A., Lektsii po algebraicheskoi topologii, Mir, M., 1976
[17] Massi U., Teoriya gomologii i kogomologii, Mir, M., 1981
[18] Mukhamadiev E., “Ogranichennye resheniya i gomotopicheskie invarianty nelineinykh differentsialnykh uravnenii”, Dokl. RAN, 351:5 (1996), 596–598 | MR | Zbl