| Title:
|
Bifurcation points of reaction-diffusion systems with unilateral conditions (English) |
| Author:
|
Drábek, Pavel |
| Author:
|
Kučera, Milan |
| Author:
|
Míková, Marta |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
35 |
| Issue:
|
4 |
| Year:
|
1985 |
| Pages:
|
639-660 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
35B32 |
| MSC:
|
35K55 |
| MSC:
|
35K57 |
| idZBL:
|
Zbl 0604.35042 |
| idMR:
|
MR809047 |
| DOI:
|
10.21136/CMJ.1985.102055 |
| . |
| Date available:
|
2008-06-09T15:07:57Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102055 |
| . |
| Reference:
|
[1] E. N. Dancer: On the structure of solutions of non-linear eigenvalue problems.Ind. Univ. Math. J. 23 (1974), 1069-1076. Zbl 0276.47051, MR 0348567, 10.1512/iumj.1974.23.23087 |
| Reference:
|
[2] S. Fučík A. Kufner: Nonlinear differential equations.Elsevier, Scient. Publ. Соmр., Amsterdam-Oxford- New York 1980. MR 0558764 |
| Reference:
|
[3] P. Drábek M. Kučera: Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions.To appear in Czech. Math. J., 1986. MR 0822872 |
| Reference:
|
[4] M. Kučera: A new method for obtaining eigenvalues of variational inequalities based on bifurcation theory.Čas. pěst. mat. 104 (1979), 389-411. MR 0553173 |
| Reference:
|
[5] M. Kučera: A new method for obtaining eigenvalues of variational inequalities. Operators with multiple eigenvalues.Czechoslovak Math. J., 32 (107) (1982), 197-207. MR 0654056 |
| Reference:
|
[6] M. Kučera: Bifurcations points of variational inequalities.Czechoslovak Math. J., 32 (107) (1982), 208-226. MR 0654057 |
| Reference:
|
[7] M. Kučera J. Neustupa: Destabilizing effect of unilateral conditions in reaction-diffusion systems.To appear in Comment. Math. Univ. Carol., 1986. MR 0843429 |
| Reference:
|
[8] Y. Nishiura: Global structure of bifurcating solutions of some reaction-diffusion systems.SIAM J. Math. Anal. Vol. 13, No. 4, July 1982, 555-593. Zbl 0505.76103, MR 0661590, 10.1137/0513037 |
| Reference:
|
[9] P. H. Rabinowitz: Some global results for nonlinear eigenvalue problems.J. Funct. Anal. 7 (1971), 487-513. Zbl 0212.16504, MR 0301587, 10.1016/0022-1236(71)90030-9 |
| Reference:
|
[10] E. H. Zarantonello: Projections on convex sets in Hilbert space and spectral theory.In "Contributions to Nonlinear Functional Analysis" (edited by E. H. Zarantonello). Academic Press, New York, 1971. Zbl 0281.47043 |
| Reference:
|
[11] E. Zeidler: Vorlesungen über nichtlineare Funktionalanalysis I - Fixpunktsätze.Teubner-Texte zur Mathematik, Leipzig 1976. Zbl 0326.47053, MR 0473927 |
| . |
