Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MZM_2013_93_2_a9, author = {D. K. Potapov}, title = {Spectral {Problems} for {Variational} {Inequalities} with {Discontinuous} {Operators}}, journal = {Matemati\v{c}eskie zametki}, pages = {252--262}, publisher = {mathdoc}, volume = {93}, number = {2}, year = {2013}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2013_93_2_a9/} }
D. K. Potapov. Spectral Problems for Variational Inequalities with Discontinuous Operators. Matematičeskie zametki, Tome 93 (2013) no. 2, pp. 252-262. http://geodesic.mathdoc.fr/item/MZM_2013_93_2_a9/
[1] Zh.-L. Lions, Nekotorye metody resheniya nelineinykh kraevykh zadach, Mir, M., 1972 | MR | Zbl
[2] S. Adly, D. Goeleven, M. Théra, “Recession mappings and noncoerctive variational inequalities”, Nonlinear Anal., Theory Methods Appl., 26:9 (1996), 1573–1603 | DOI | MR | Zbl
[3] V. N. Pavlenko, “Teoremy suschestvovaniya dlya ellipticheskikh variatsionnykh neravenstv s kvazipotentsialnymi operatorami”, Differents. uravneniya, 24:8 (1988), 1397–1402 | MR | Zbl
[4] V. N. Pavlenko, “Polupravilnye resheniya ellipticheskikh variatsionnykh neravenstv s razryvnymi nelineinostyami”, Ukr. matem. zhurn., 43:2 (1991), 230–235 | MR | Zbl
[5] V N. Pavlenko, “O razreshimosti variatsionnykh neravenstv s razryvnymi polumonotonnymi operatorami”, Ukr. matem. zhurn., 45:3 (1993), 443–447 | MR | Zbl
[6] V. N. Pavlenko, E. A. Chizh, “Silno rezonansnye ellipticheskie variatsionnye neravenstva s razryvnymi nelineinostyami”, Izv. vuzov. Matem., 2005, no. 7, 49–56 | MR | Zbl
[7] V. N. Pavlenko, M. A. Pribyl, “Rezonansnye ellipticheskie variatsionnye neravenstva s razryvnymi nelineinostyami”, Differents. uravneniya, 42:1 (2006), 120–125 | MR | Zbl
[8] V. N. Pavlenko, D. K. Potapov, “O suschestvovanii lucha sobstvennykh znachenii dlya uravnenii s razryvnymi operatorami”, Sib. matem. zhurn., 42:4 (2001), 911–919 | MR | Zbl
[9] D. K. Potapov, “O suschestvovanii lucha sobstvennykh znachenii dlya uravnenii ellipticheskogo tipa s razryvnymi nelineinostyami v kriticheskom sluchae”, Vestn. S.-Peterb. un-ta. Ser. 10. Prikl. matem. Inform. Prots. uprav., 2004, no. 4, 125–132
[10] D. K. Potapov, “Spectral problems for equations with discontinuous monotone operators”, J. Math. Sci. (N. Y.), 144:4 (2007), 4232–4233 | DOI | MR | Zbl
[11] D. K. Potapov, Zadachi so spektralnym parametrom i razryvnoi nelineinostyu, IBP, SPb., 2008
[12] M. M. Vainberg, Variatsionnyi metod i metod monotonnykh operatorov v teorii nelineinykh uravnenii, Nauka, M., 1972 | MR | Zbl
[13] O. A. Ladyzhenskaya, N. N. Uraltseva, Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1964 | MR | Zbl
[14] M. A. Krasnoselskii, A. V. Pokrovskii, Sistemy s gisterezisom, Nauka, M., 1983 | MR | Zbl
[15] K. C. Chang, “Free boundary problems and the set-valued mappings”, J. Differential Equations, 49:1 (1983), 1–28 | DOI | MR | Zbl
[16] V. N. Pavlenko, Uravneniya i variatsionnye neravenstva s razryvnymi nelineinostyami, Dis. $\dots$ dokt. fiz.-matem. nauk, Chelyabinsk, 1995
[17] D. K. Potapov, “Ob odnoi otsenke sverkhu velichiny bifurkatsionnogo parametra v zadachakh na sobstvennye znacheniya dlya uravnenii ellipticheskogo tipa s razryvnymi nelineinostyami”, Differents. uravneniya, 44:5 (2008), 715–716 | MR | Zbl
[18] D. K. Potapov, “O strukture mnozhestva sobstvennykh znachenii dlya uravnenii ellipticheskogo tipa vysokogo poryadka s razryvnymi nelineinostyami”, Differents. uravneniya, 46:1 (2010), 150–152 | MR | Zbl