Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MZM_2020_108_1_a4, author = {V. S. Klimov}, title = {Variational {Inequalities} and {Analogs} of the {Hopf} {Theorems}}, journal = {Matemati\v{c}eskie zametki}, pages = {64--80}, publisher = {mathdoc}, volume = {108}, number = {1}, year = {2020}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2020_108_1_a4/} }
V. S. Klimov. Variational Inequalities and Analogs of the Hopf Theorems. Matematičeskie zametki, Tome 108 (2020) no. 1, pp. 64-80. http://geodesic.mathdoc.fr/item/MZM_2020_108_1_a4/
[1] M. A. Krasnoselskii, P. P. Zabreiko, Geometricheskie metody nelineinogo analiza, Nelineinyi analiz i ego prilozheniya, Nauka, M., 1975 | MR | Zbl
[2] A. V. Guminskaya, P. P. Zabreiko, “O teoremakh Khopfa dlya otnositelnogo vrascheniya”, Tr. In-ta matem., 15:1 (2007), 33–46
[3] Yu. G. Borisovich, “Ob odnom primenenii ponyatiya vrascheniya vektornogo polya”, Dokl. AN SSSR, 153:1 (1963), 12–15 | MR | Zbl
[4] Yu. G. Borisovich, “Ob otnositelnom vraschenii kompaktnykh vektornykh polei v lineinykh prostranstvakh”, Tr. sem. po funkts. analizu, 1969, no. 12, 3–27 | Zbl
[5] Yu. G. Borisovich, B. D. Gelman, A. D. Myshkis, V. V. Obukhovskii, “Topologicheskie metody v teorii nepodvizhnykh tochek mnogoznachnykh otobrazhenii”, UMN, 35:1 (211) (1980), 59–126 | MR | Zbl
[6] V. S. Klimov, “O topologicheskikh kharakteristikakh negladkikh funktsionalov”, Izv. RAN. Ser. matem., 62:5 (1998), 117–134 | DOI | MR | Zbl
[7] V. S. Klimov, N. A. Demyankov, “Otnositelnoe vraschenie i variatsionnye neravenstva”, Izv. vuzov. Matem., 2011, no. 6, 44–54 | MR | Zbl
[8] I. Benedetti, V. Obukhovskii, “On the index of solvability for variational inequalities”, Set-Valued Anal., 16:1 (2008), 67–92 | DOI | MR | Zbl
[9] I. V. Skrypnik, Metody issledovaniya nelineinykh ellipticheskikh granichnykh zadach, Nauka, M., 1990 | MR | Zbl
[10] F. E. Browder, “Nonlinear elliptic boundary value problems and the generalized topological degree”, Bull. Amer. Math. Soc., 76:5 (1970), 999–1005 | DOI | MR | Zbl
[11] N. A. Bobylev, S. V. Emelyanov, S. K. Korovin, Geometricheskie metody v variatsionnykh zadachakh, Izd-vo Magistr, M., 1998 | MR
[12] J. P. Gossez, “Nonlinear elliptic boundary value problems for equations with rapidly (or slowly) increasing coefficient”, Trans. Amer. Math. Soc., 190 (1974), 163–205 | DOI | MR | Zbl
[13] S. L. Trojanski, “On Locally uniform convex and differentiable norms in certain nonseparable Banach spaces”, Studia Math., 37 (1970), 173–180 | MR
[14] L. P. Vlasov, “Approksimativnye svoistva mnozhestv v lineinykh normirovannykh prostranstvakh”, UMN, 28:6 (174) (1973), 3–66 | MR | Zbl
[15] I. V. Skrypnik, Nelineinye ellipticheskie uravneniya vysshego poryadka, Naukova dumka, K., 1973 | MR | Zbl
[16] V. S. Klimov, N. V. Senchakova, “Ob otnositelnom vraschenii mnogoznachnykh potentsialnykh vektornykh polei”, Matem. sb., 182:10 (1991), 1393–1407 | MR | Zbl
[17] Zh.-L. Lions, Nekotorye metody resheniya nelineinykh kraevykh zadach, Mir, M., 1972 | MR | Zbl
[18] V. S. Klimov, “Operatornye vklyucheniya i kvazivariatsionnye neravenstva”, Matem. zametki, 101:5 (2017), 750–767 | DOI | MR | Zbl
[19] F. Klark, Optimizatsiya i negladkii analiz, Nauka, M., 1988 | MR | Zbl
[20] A. V. Dmitruk, A. A. Milyutin, N. P. Osmolovskii, “Teorema Lyusternika i teoriya ekstremuma”, UMN, 35:6(216) (1980), 11–46 | MR | Zbl
[21] A. Dold, Lektsii po algebraicheskoi topologii, Mir, M., 1976 | MR
[22] Dzh. Milnor, A. Uolles, Differentsialnaya topologiya. Nachalnyi kurs, Mir, M., 1972 | MR
[23] V. S. Klimov, “Deformatsii funktsionalov i bifurkatsii ekstremalei”, Matem. zametki, 81:1 (2007), 70–82 | DOI | MR | Zbl