Remarks on some nonlinear Dirichlet problems with unbounded nonlinearities
Nieto, Juan J.
Commentationes Mathematicae Universitatis Carolinae, Tome 031 (1990), p. 511-515 / Harvested from Czech Digital Mathematics Library
Publié le : 1990-01-01
Classification:  34B15
@article{106886,
     author = {Juan J. Nieto},
     title = {Remarks on some nonlinear Dirichlet problems with unbounded nonlinearities},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {031},
     year = {1990},
     pages = {511-515},
     zbl = {0711.34028},
     mrnumber = {1078485},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106886}
}
Nieto, Juan J. Remarks on some nonlinear Dirichlet problems with unbounded nonlinearities. Commentationes Mathematicae Universitatis Carolinae, Tome 031 (1990) pp. 511-515. http://gdmltest.u-ga.fr/item/106886/

Aguinaldo L.; Schmitt K. On the boundary value problem $u" + u = au^- + p(t), u(0) = 0 = u(\pi)$, Proc. Amer. Math. Soc. 68 (1978), 64-68. (1978) | MR 0466707

Ahmad S. A resonance problem in which the nonlineariiy may grow linearly, Proc. Amer. Mat. Soc. 82 (1984), 381-384. (1984) | MR 0759657

Brezis H. Periodic solutions of nonlinear vibrating strings and duality principles, Bull. Amer. Math. Soc. 8 (1983), 409-426. (1983) | MR 0693957 | Zbl 0537.35055

Cesari L.; Kannan R. An abstract theorem at resonance, Proc. Amer. Math. Soc. 63 (1977), 221-225. (1977) | MR 0448180

Cesari L.; Kannan R. Existence of solutions of a nonlinear differential equation, Proc. Amer. Math. Soc. 88 (1983), 605-613. (1983) | MR 0702284 | Zbl 0529.34005

Drábek P. On the resonance problem with nonlinearity which has arbitrary linear growth, J. Math. Anal. Appl. 127 (1987), 435-442. (1987) | MR 0915069

Fučík S. Boundary value problems with jumping nonlinearities, Časopis Pěst. Mat. 101 (1976), 69-87. (1976) | MR 0447688

Iaanaci R.; Nkashama M.N.; Ward J.R. Nonlinear second order elliptic partial differential equations at resonance, Trans. Amer. Math. Soc. 311 (1989), 711-726. (1989) | MR 0951886

Kannan R.; Ortega R. Existence of solutions of $x'' + x + g(x) = p(t), x(0) = 0 = x(\pi)$, Proc. Amer. Math. Soc. 96 (1986), 67-70. (1986) | MR 0813812 | Zbl 0585.34001

Kannan R.; Lakshmikantham V.; Nieto J. J. Sufficient conditions for existence of solutions of nonlinear boundary value problems at resonance, Nonlinear Anal. 7 (1983), 1013-1020. (1983) | MR 0713210 | Zbl 0542.47053

Kannan R.; Nieto J. J.; Ray M. B. A class of nonlinear boundary value problems without Landesman-Lazer condition, J. Math. Anal. Appl. 105 (1985), 1-11. (1985) | MR 0773569 | Zbl 0589.34013

Nieto J. J. Hukuhara-Kneser property for a nonlinear Dirichlet problem, J. Math. Anal. Appl. 128 (1987), 57-63. (1987) | MR 0915966 | Zbl 0648.34019

Nieto J. J. Aronszajn's theorem for some nonlinear Dirichlet problems with unbounded nonlinearities, Proc. Edinburgh Math. Soc. 31 (1988), 345-351. (1988) | MR 0969064 | Zbl 0631.34027

Schechter M.; Shapiro J.; Snow M. Solutions of the nonlinear problem $Au = Nu$ in a Banach space, Trans. Amer. Math. Soc. 241 (1978), 69-78. (1978) | MR 0492290