Geodesic
On existence of solutions for elliptic equations at resonance
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 10 (2008), pp. 44-48 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper devoted to generalization of one theorem by V. N. Pavlenko and V. V. Vinokur (2001) on existence for semilinear elliptic boundary value problems at resonance. In distinct from mentioned result, we consider unbounded nonlinearity and give new sufficient conditions on its growth for existance of solutions. 
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M. G. Lepchinski. On existence of solutions for elliptic equations at resonance. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 10 (2008), pp. 44-48. http://geodesic.mathdoc.fr/item/VCHGU_2008_10_a5/

[1] V. N. Pavlenko, V. V. Vinokur, “Rezonansnye kraevye zadachi dlya uravnenii ellipticheskogo tipa s razryvnymi nelineinostyami”, Izv. vuzov. Matematika, 2001, no. 5, 45—58

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

[3] V. N. Pavlenko, “O suschestvovanii polupravilnykh reshenii pervoi kraevoi zadachi dlya uravneniya parabolicheskogo tipa s razryvnoi monotonnoi nelineinostyu”, Differents. uravneniya, 27:3 (1991), 520—526 | MR

[4] V. N. Pavlenko, Uravneniya i variatsionnye neravenstva s razryvnymi nelineinostyami, avtoref. dis. ... d-ra fiz.-mat. nauk : 01.01.02, In-t matematiki i mekhaniki UrO RAN, Ekaterinburg, 1995

[5] M. G. Lepchinskii, Suschestvovanie i ustoichivost reshenii kraevykh zadach ellipticheskogo tipa s razryvnymi nelineinostyami, dis. ... kand. fiz.-mat. nauk : 01.01.02, UrGU, Ekaterinburg, 2006.

[6] M. A. Krasnoselskii, A. V. Pokrovskii, Sistemy s gisterezisom, Nauka, M., 1983 | MR