| Title:
|
Existence and multiplicity results for some weakly nonlinear elliptic problems at resonance (English) |
| Author:
|
Drábek, Pavel |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
108 |
| Issue:
|
3 |
| Year:
|
1983 |
| Pages:
|
272-284 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35J65 |
| idZBL:
|
Zbl 0524.35045 |
| idMR:
|
MR716412 |
| DOI:
|
10.21136/CPM.1983.118175 |
| . |
| Date available:
|
2009-09-23T09:21:48Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118175 |
| . |
| Reference:
|
[1] H. Amann: A note on degree theory for gradient mappings.Proc. A.M.S. 85 (1982), 591 to 595. Zbl 0501.58012, MR 0660610 |
| Reference:
|
[2] H. Amann G. Mancini: Some applications of monotone operator theory to resonance problems.Nonlin. Anal. T.M.A. Vol. 3, n. 6 (1979), 825-830. MR 0548954 |
| Reference:
|
[3] A. Ambrosetti K. Mancini: Theorems of existence and multiplicity for nonlinear elliptic problems with noninvertible linear part.Аnnali Sc. Nor. Sup. Pisa, Vol. V, n. 1 (1978), 15-28. MR 0487001 |
| Reference:
|
[4] A. Ambrosetti G. Mancini: Existence and multiplicity results for nonlinear elliptic problems with linear part at гesonance.The case of the simple eigenvalue. J. Diff. Eq., Vol. 28, n. 2 (1978), 220-245. MR 0492839 |
| Reference:
|
[5] P. W. Bates A. Castro: Necessary and sufficient conditions for existence of solutions to equations with noninvertible linear part.Revista Colomb. de Mat., Vol. XV (1981), 7-24. MR 0674931 |
| Reference:
|
[6] J. V. A. Concalves: On bounded nonlinear perturbations of an elliptic equation at resonance.Nonlin. Аnalysis T.M.А. Vol. I, n. 5 (1981), 57-60. MR 0597281 |
| Reference:
|
[7] P. Drábek: Bounded nonlinear perturbations of second order linear elliptic problems.Comment. Math. Univ. Caгoliae 22, 2 (1981), 215-221. MR 0620358 |
| Reference:
|
[8] P. Drábek: Solvability of nonlinear problems at resonance.Comment. Math. Univ. Carolinae 25, 2 (1982), 359-368. MR 0664981 |
| Reference:
|
[9] S. Fučik M. Krbec: Boundary value problems with bounded nonlinearity and general nullspace of the linear part.Math. Z. 155 (1977), 129-138. MR 0473513 |
| Reference:
|
[10] P. Hess: А гemark on the preceding paper of Fučík and Krbec.Math. Z. 155 (1977), 139 to 141. MR 0473514 |
| Reference:
|
[11] D. G. de Figueiredo, Wei-Ming Ni: Perturbations of second order linear elliptic problems by nonlinearities without Landesman-Lazer condition.Nonlin. Аnalysis T.M.А., Vol. 3, n. 5 (1979), 629-634. Zbl 0429.35035, MR 0541873 |
| Reference:
|
[12] E. G. Sitnikova: Theorem on a strong zero for an elliptic equation of high order (Russian).Mat. Ѕbornik 8 (123), n. 3 (1970), 376-397. MR 0264219 |
| . |
