| Title:
|
Remarks on some nonlinear Dirichlet problems with unbounded nonlinearities (English) |
| Author:
|
Nieto, Juan J. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
31 |
| Issue:
|
3 |
| Year:
|
1990 |
| Pages:
|
511-515 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34B15 |
| idZBL:
|
Zbl 0711.34028 |
| idMR:
|
MR1078485 |
| . |
| Date available:
|
2008-06-05T21:45:09Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106886 |
| . |
| Reference:
|
[1] 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. MR 0466707 |
| Reference:
|
[2] Ahmad S.: A resonance problem in which the nonlineariiy may grow linearly.Proc. Amer. Mat. Soc. 82 (1984), 381-384. MR 0759657 |
| Reference:
|
[3] Brezis H.: Periodic solutions of nonlinear vibrating strings and duality principles.Bull. Amer. Math. Soc. 8 (1983), 409-426. Zbl 0537.35055, MR 0693957 |
| Reference:
|
[4] Cesari L., Kannan R.: An abstract theorem at resonance.Proc. Amer. Math. Soc. 63 (1977), 221-225. MR 0448180 |
| Reference:
|
[5] Cesari L., Kannan R.: Existence of solutions of a nonlinear differential equation.Proc. Amer. Math. Soc. 88 (1983), 605-613. Zbl 0529.34005, MR 0702284 |
| Reference:
|
[6] Drábek P.: On the resonance problem with nonlinearity which has arbitrary linear growth.J. Math. Anal. Appl. 127 (1987), 435-442. MR 0915069 |
| Reference:
|
[7] Fučík S.: Boundary value problems with jumping nonlinearities.Časopis Pěst. Mat. 101 (1976), 69-87. MR 0447688 |
| Reference:
|
[8] 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. MR 0951886 |
| Reference:
|
[9] 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. Zbl 0585.34001, MR 0813812 |
| Reference:
|
[10] 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. Zbl 0542.47053, MR 0713210 |
| Reference:
|
[11] 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. Zbl 0589.34013, MR 0773569 |
| Reference:
|
[12] Nieto J. J.: Hukuhara-Kneser property for a nonlinear Dirichlet problem.J. Math. Anal. Appl. 128 (1987), 57-63. Zbl 0648.34019, MR 0915966 |
| Reference:
|
[13] Nieto J. J.: Aronszajn's theorem for some nonlinear Dirichlet problems with unbounded nonlinearities.Proc. Edinburgh Math. Soc. 31 (1988), 345-351. Zbl 0631.34027, MR 0969064 |
| Reference:
|
[14] 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. MR 0492290 |
| . |
