| Title:
|
A note on the solvability of nonlinear elliptic problems with jumping nonlinearities (English) |
| Author:
|
Donati, Flavio |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
26 |
| Issue:
|
3 |
| Year:
|
1985 |
| Pages:
|
455-466 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35A05 |
| MSC:
|
35J65 |
| MSC:
|
47H15 |
| idZBL:
|
Zbl 0612.35054 |
| idMR:
|
MR817820 |
| . |
| Date available:
|
2008-06-05T21:22:01Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106386 |
| . |
| Reference:
|
[1] ADIMURTHI, P. N. SRIKANTH: On exact number of solutions at infinity for Ambrosetti-Prodi class of problems.preprint. |
| Reference:
|
[2] A. AMBROSETTI: Elliptic equations with jumping nonlinearities.preprint. Zbl 0589.35043, MR 0755462 |
| Reference:
|
[3] A. AMBROSETTI, G. PRODI: On the inversion of some differentiable mappings with singularities between Banach spaces.Ann. Mat. Pura Appl. 93 (1972), 231-246. Zbl 0288.35020, MR 0320844 |
| Reference:
|
[4] V. CAPAGNA, F. DONATI: On the sign of the solutions to some semilinear Dirichlet problems.Proc. Roy. Soc. Edinburgh, to appear. MR 0807547 |
| Reference:
|
[5] E. N. DANCER: On the Dirichlet problem for weakly non-linear elliptic partial differential equations.Proc. Roy. Soc. Edinburgh 76A (1977), 283-300. Zbl 0351.35037, MR 0499709 |
| Reference:
|
[6] D. G. DE FIGUEIREDO: Lectures on boundary value problems of the Ambrosetti-Prodi type.Atas do 12" Seminário Brasileiro de Análise, Sào Paulo (1980), 230-292. |
| Reference:
|
[7] S. FUČÍK: Boundary value problems with jumping nonlinearities.Časopis Pěst. Mat. 101 (1976), 69-87. MR 0447688 |
| Reference:
|
[8] S. FUČÍK, A. KUFNER: Nonlinear differential equations.Elsevier, Amsterdam, 1980. MR 0558764 |
| Reference:
|
[9] T. GALLOUËT, O. KAVIAN: Résultats d 'existence et de non-existence pour certains problèmes demi-lineàires a l'infini.Ann. Fac. Sc. Toulouse 3 (1981), 201-246. Zbl 0495.35001, MR 0658734 |
| Reference:
|
[10] T. KATO: Perturbation theory for linear operators.Springer-Verlag, New York, 1966. Zbl 0148.12601, MR 0203473 |
| Reference:
|
[11] L. NIRENBERG: Topics in nonlinear functional analysis.Lecture Notes, Courant Institute, New York, 1974. Zbl 0286.47037, MR 0488102 |
| Reference:
|
[12] E. PODOLAK: On the range of operator eolations with an asymptotically nonlinear terms.Indiana Univ. Math. J. 25 - 12 (1976), 1127-1137. MR 0425698 |
| Reference:
|
[13] B. RUF: On nonlinear elliptic problems with jumping nonlinearities.Ann. Mat. Pura Appl. 128 (1981),133-151. Zbl 0475.35046, MR 0640779 |
| Reference:
|
[14] S. SOLIMINI: Some remarks on the number of solutions of some nonlinear elliptic problems.preprint. Zbl 0583.35044, MR 0794004 |
| . |
