| Title:
|
On the spectrum of a nonlinear operator (English) |
| Author:
|
Souček, Jiří |
| Author:
|
Souček, Vladimír |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
24 |
| Issue:
|
4 |
| Year:
|
1974 |
| Pages:
|
614-663 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
47H15 |
| MSC:
|
58E05 |
| idZBL:
|
Zbl 0329.47023 |
| idMR:
|
MR0400299 |
| DOI:
|
10.21136/CMJ.1974.101280 |
| . |
| Date available:
|
2008-06-09T14:09:49Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101280 |
| . |
| Reference:
|
[С-В] H. Cartan F. Bruhat: Sur la structure des sousensembles analytiques réels.Comptes Rendus, vol. 244, 1957, p. 988. MR 0086108 |
| Reference:
|
[FNSS 1] S. Fučík J. Nečas J. Souček V. Souček: Upper bound for the numbers of critical levels for nonlinear operators in Banach spaces of the type of second order nonlinear partial differential operators.Journal Funct. Anal. 11, 1972, p. 314-322. MR 0341224, 10.1016/0022-1236(72)90072-9 |
| Reference:
|
[FNSS 2] S. Fučík J. Nečas J. Souček V. Souček: Upper bound for the number of eigenvalues for nonlinear operators.Ann. Scuola Norm. Sup. Pisa, 27, 1973, p. 53 - 71. MR 0372918 |
| Reference:
|
[FNSS 3] S. Fučík J. Nečas J. Souček V. Souček: Strenghthening upper bound for the number of critical levels of nonlinear functionals.Comm. Math. Univ. Carol. 13, 1972, p. 297-310. MR 0305169 |
| Reference:
|
[FNSS 4] S. Fučík J. Nečas J. Souček V. Souček: New infinite dimensional versions of Morse-Sard theorem.Boll. Unione Mat. Ital. 6, 1972, p. 317-322. MR 0324724 |
| Reference:
|
[FNSS 5] S. Fučík J. Nečas J. Souček V. Souček: Remarks on M. A. Krasnoselskij's main bifurcation theorem.(to appear). |
| Reference:
|
[FNSS 6] S. Fučík J. Nečas J. Souček V. Souček: Note to nonlinear spectral theory: Application to the nonlinear integral equations of the Lichtenstein type.(to appear). |
| Reference:
|
[FNSS 7] S. Fučík J. Nečas J. Souček V. Souček: Spectral analysis of nonlinear operators.Lecture Notes in Math., Springer-Verlag, vol. 346. |
| Reference:
|
[G -R] R. C. Gunning H. Rossi: Analytic functions of several complex variables.PrenticeHall, 1965. MR 0180696 |
| Reference:
|
[H] M. Hervé: Функции многих комплексных переменных.(Functions of several complex variables), Москва, 1965. |
| Reference:
|
[K] M. Kučera: Hausdorff measure of the set of critical values of functions of the class $C^{k, \alpha}$.Comm. Math. Univ. Carol. 13, 1972, p. 333-350. MR 0305421 |
| Reference:
|
[M] J. Milnor: Особые точки комплексных гиперповерхностей.(Singular points of complex hypersurfaces), Москва, 1971. Zbl 0265.10013 |
| Reference:
|
[N] R. Narasimhan: Анализ на действительных и комплексных многообразниях.(Analysis on real and complex manifolds), Москва, 1971. Zbl 0257.22014 |
| Reference:
|
[F-N] S. Fučík J. Nečas: Ljustennik-Schnirelmann theorem and nonlinear eigenvalue problems.Math. Nachr. 53, 1972, p. 277-289. MR 0333863, 10.1002/mana.19720530123 |
| Reference:
|
[S] A. Sard: The measure of the critical set values of the differentiable mapping.Bull. Am. Math. Soc., 48, 1942, p. 883-890. MR 0007523, 10.1090/S0002-9904-1942-07811-6 |
| Reference:
|
[So] V. Souček: О spektru nelineárních operátorů.(On the spectrum of nonlinear operators), these, Praha 1973. |
| Reference:
|
[Sp] E. Spanier: Алгебраическая топология.Москва, 1971. Zbl 0235.68029 |
| Reference:
|
[S-S] J. Souček V. Souček: Morse-Sard theorem for real-analytic functions.Comm. Math. Univ. Carol. 13, 1972, p. 45-51. MR 0308345 |
| Reference:
|
[V] M. M. Vajnberg: Variational methods for the study of nonlinear operators.Holden-Day, 1964. Zbl 0122.35501, MR 0176364 |
| Reference:
|
[W-B] H. Whitney F. Bruhat: Quelques propriétés fondamentales des ensembles analytiquesréels.Comment. Math. Helvetici, 33, 1959, p. 132-160. MR 0102094, 10.1007/BF02565913 |
| . |
