Existence of solutions for quasilinear elliptic boundary value problem in the presence of point sources
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 152 (2010) no. 1, pp. 155-163 Cet article a éte moissonné depuis la source Math-Net.Ru

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The existence of solutions of a quasilinear elliptic boundary value problem in the presence of point sources is investigated. We use an additive selection of the singularity of the right side. Solution of nonlinear problem is sought as the sum of known solution of a linear problem (associated with the original one) with point sources in the right side and the unknown additive term.
Keywords: quasilinear elliptic boundary value problem, monotone operator, existence theorem.
Mots-clés : point source
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O. A. Zadvornov. Existence of solutions for quasilinear elliptic boundary value problem in the presence of point sources. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 152 (2010) no. 1, pp. 155-163. http://geodesic.mathdoc.fr/item/UZKU_2010_152_1_a14/

[1] Ladyzhenskaya O. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1973, 576 pp. | MR

[2] Gaevskii Kh., Greger K., Zakharias K., Nelineinye operatornye uravneniya i operatornye differentsialnye uravneniya, Mir, M., 1978, 336 pp. | MR

[3] Lyashko A. D., Karchevskii M. M., “O reshenii nekotorykh nelineinykh zadach teorii filtratsii”, Izv. vuzov. Matem., 1975, no. 6, 73–81 | MR | Zbl

[4] Zadvornov O. A., “Issledovanie nelineinoi statsionarnoi zadachi filtratsii pri nalichii tochechnogo istochnika”, Izv. vuzov. Matem., 2005, no. 1, 58–63 | MR | Zbl

[5] Badriev I. B., Banderov V. V., Zadvornov O. A., “Suschestvovanie resheniya zadachi o ravnovesii myagkoi setchatoi obolochki pri nalichii tochechnogo istochnika”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 152, no. 1, 2010, 93–102 | Zbl

[6] Vainberg M. M., Variatsionnye metody issledovaniya nelineinykh operatorov, Gostekhizdat, M., 1956, 344 pp. | Zbl