| Title:
|
Superlinear elliptic boundary value problems (English) |
| Author:
|
Kannan, R. |
| Author:
|
Ortega, Rafael |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
37 |
| Issue:
|
3 |
| Year:
|
1987 |
| Pages:
|
386-399 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35J65 |
| idZBL:
|
Zbl 0668.35032 |
| idMR:
|
MR904766 |
| DOI:
|
10.21136/CMJ.1987.102166 |
| . |
| Date available:
|
2008-06-09T15:16:36Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102166 |
| . |
| Reference:
|
[1] Amann H., Ambrosetti A., and Mancini G.: Elliptic equations with non-invertible Fredholm linear part and bounded nonlinearities.Math. Z. 158 (1978), 179-194. MR 0481498, 10.1007/BF01320867 |
| Reference:
|
[2] Ambrosetti A.: Differential equations with multiple solutions and nonlinear functional analysis.ISAS Lecture Notes, Trieste (1982). MR 0726565 |
| Reference:
|
[3] Ambrosetti A., and Prodi G.: On the inversion of some differentiable mappings with singularities between Banach spaces.Ann. Mat. Pura Appl. 93 (1973), 231-247. MR 0320844, 10.1007/BF02412022 |
| Reference:
|
[4] Brezis H., and Turner R. E. L.: On a class of superlinear elliptic problems.Comm. in P. D. E. 2 (1977), 601-614. MR 0509489, 10.1080/03605307708820041 |
| Reference:
|
[5] Castro A.: Periodic solutions of the forced pendulum equation. In Differential Equations.ed. by Ahmad, Keener, Lazer (1980), 149-160, Academic Press, New York. MR 0580791 |
| Reference:
|
[6] de Figueiredo D. G.: Positive solutions of semilinear elliptic problems.In Proceedings of Sao Paulo 1981 Conference on Diff. Eqs. Lecture Notes in Mathematics 957, SpringerVerlag. |
| Reference:
|
[7] Fučík S.: Solvability of Nonlinear Equations and Boundary Value Problems.D. Reidel Publishing Company, Holland, U.S.A., England. MR 0620638 |
| Reference:
|
[8] Kannan R., and Ortega R.: Landesman-Lazer conditions for problems with 'one-side unbounded' nonlinearities.(to appear). MR 1306589 |
| Reference:
|
[9] Landesman E. M., and Lazer A. C: Nonlinear perturbations of linear elliptic boundary value problems at resonance.J. Math. Mech. 19 (1970), 609-623. MR 0267269 |
| Reference:
|
[10] McKenna P. J.: On a superlinear elliptic boundary value problem at resonance.Proc. Amer. Math. Soc. 74 (1979), 259-265. Zbl 0499.35048, MR 0524297, 10.1090/S0002-9939-1979-0524297-1 |
| Reference:
|
[11] Kenig С., Ni W.: On the existence and boundary behavior of soluions to a class of nonlinear Dirichlet problems.Proc. of the Amer. Math. Soc. 89 (1983), 254-258. MR 0712633, 10.1090/S0002-9939-1983-0712633-3 |
| Reference:
|
[12] Ward J. R., Jr.: Perturbations with some superlinear growth for a class of second order elliptic boundary value problem.J. Nonlinear Anal. 6 (1982), 367-374. MR 0654812, 10.1016/0362-546X(82)90022-0 |
| Reference:
|
[13] Ward J. R., Jr.: Existence for a class of semilinear problems at resonance.J. Diff. Eq. 45 (1982), 156-167. Zbl 0515.34003, MR 0665993, 10.1016/0022-0396(82)90062-6 |
| Reference:
|
[14] Hess P., and Ruf В.: On a superlinear BVP.Math. Z. 164 (1978) 9-16. MR 0514603 |
| . |
