Вариационный метод для уравнений с разрывными операторами
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 2 (1994), pp. 87-95
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{VCHGU_1994_2_a10,
     author = {V. N. Pavlenko},
     title = {{\CYRV}{\cyra}{\cyrr}{\cyri}{\cyra}{\cyrc}{\cyri}{\cyro}{\cyrn}{\cyrn}{\cyrery}{\cyrishrt} {\cyrm}{\cyre}{\cyrt}{\cyro}{\cyrd} {\cyrd}{\cyrl}{\cyrya} {\cyru}{\cyrr}{\cyra}{\cyrv}{\cyrn}{\cyre}{\cyrn}{\cyri}{\cyrishrt} {\cyrs} {\cyrr}{\cyra}{\cyrz}{\cyrr}{\cyrery}{\cyrv}{\cyrn}{\cyrery}{\cyrm}{\cyri} {\cyro}{\cyrp}{\cyre}{\cyrr}{\cyra}{\cyrt}{\cyro}{\cyrr}{\cyra}{\cyrm}{\cyri}},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {87--95},
     year = {1994},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VCHGU_1994_2_a10/}
}
TY  - JOUR
AU  - V. N. Pavlenko
TI  - Вариационный метод для уравнений с разрывными операторами
JO  - Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika
PY  - 1994
SP  - 87
EP  - 95
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VCHGU_1994_2_a10/
LA  - ru
ID  - VCHGU_1994_2_a10
ER  - 
%0 Journal Article
%A V. N. Pavlenko
%T Вариационный метод для уравнений с разрывными операторами
%J Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika
%D 1994
%P 87-95
%N 2
%U http://geodesic.mathdoc.fr/item/VCHGU_1994_2_a10/
%G ru
%F VCHGU_1994_2_a10
V. N. Pavlenko. Вариационный метод для уравнений с разрывными операторами. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 2 (1994), pp. 87-95. http://geodesic.mathdoc.fr/item/VCHGU_1994_2_a10/

[1] Vainberg M.M., Variatsionnyi metod i metod monotonnykh operatorov, Nauka, M., 1972 | MR

[2] Pavlenko V.N,, “O razreshimosti nelineinykh uravnenii s razryvnymi operatorami”, Dokl. AN SSSR., 204:6 (1972), 1320–1323 | Zbl

[3] Vainberg M.M,, Lavrentev I.M., “Nelineinye kvazipotentsialnye operatory”, Dokl. AN SSSR, 205:5 (1972), 1022–1024 | Zbl

[4] Krasnoselskii M.A., Pokrovskii A,V., “Pravilnye resheniya uravnenii s razryvnymi nelineinostyami”, Dokl. AN SSSR, 266:3 (1976), 506–509

[5] Stuart C.A., “Maximal and minimal solutions of elliptic differential equations with discontinuous nonlinearities”, Math. Z, 163:3 (1978), 239–249 | DOI | MR | Zbl

[6] Stuart C.A., Toland J.F., “A variational method for boundary, value problems with discontinuous nonlinearities”, J. London Math. Soc. Ser. 2, 21:2 (1980), 319–328 | DOI | MR | Zbl

[7] Stuart C.A., Toland J.F., “A property of solutions of elliptic differential equation with boundary value problems with discontinuous nonlinearities”, J. London Math. Soc. Ser. 2, 21:2 (1980), 329–335 | DOI | MR | Zbl

[8] Chang Kung-Ching, “Variational methos for non-differentiable functionals and their applications to partial differential equations”, J. Math. Anal. and Appl., 80:1 (1981), 102–129 | DOI | MR | Zbl

[9] Pavlenko V.N., “Suschestvovanie reshenii u nelineinykh uravnenii s razryvnymi monotonnymi operatorami”, Vesti. Mosk. un-ta. Matematika. Mekhanika, 1973, no. 6, 21–29 | Zbl

[10] Pavlenko V.N., “Nelineinye uravneniya s razryvnymi operatorami v banakhovykh prostranstvakh”, Ukr. mat. zhurn., 31:5 (1979), 569–572 | MR | Zbl

[11] Shragin. I.V., “Usloviya izmerimosti superpozitsii”, Dokl. AN SSSR, 197:2 (1971), 295–298 | MR | Zbl

[12] Sobolev S.L., Nekotorye primeneniya funktsionalnogo analiza v matematicheskoi fizike, Izd-vo Leningr. un-ta, 1950 | MR

[13] Koshelev A.I., “Apriornye otsenki v $L^p$ i obobschennye resheniya ellipticheskikh uravnenii i sistem”, Uspekhi mat.nauk, 1958, no. 4, 29–89