| Title:
|
A global continuation theorem for obtaining eigenvalues and bifurcation points (English) |
| Author:
|
Kučera, Milan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
38 |
| Issue:
|
1 |
| Year:
|
1988 |
| Pages:
|
120-137 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47H15 |
| MSC:
|
58C40 |
| MSC:
|
58E07 |
| idZBL:
|
Zbl 0665.35010 |
| idMR:
|
MR925946 |
| DOI:
|
10.21136/CMJ.1988.102206 |
| . |
| Date available:
|
2008-06-09T15:19:44Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102206 |
| . |
| Reference:
|
[1] E. N. Dancer: On the structure of solutions of non-linear eigenvalue problems.Indiana Univ. Math. Journ., 23 (11), 1974, 1069-1076. Zbl 0276.47051, MR 0348567, 10.1512/iumj.1974.23.23087 |
| Reference:
|
[2] P. Drábek M. Kučera M. Míková: Bifurcation points of reaction-diffusion systems with unilateral conditions.Czechoslovak Math. J. 35 (110), 1985, 639-660. MR 0809047 |
| Reference:
|
[3] P. Drábek M. Kučera: Reaction-diffusion systems: Destabilizing effect of unilateral conditions.To appear in Nonlinear Analysis. MR 0969497 |
| Reference:
|
[4] M. Kučera: A new method for obtaining eigenvalues of variational inequalities based on bifurcation theory.Čas. pro pěst. matematiky, 104, 1979, 389-411. MR 0553173 |
| Reference:
|
[5] M. Kučera: Bifurcation points of variational inequalities.Czechoslovak Math. J. 32 (107), 1982, 208-226. MR 0654057 |
| Reference:
|
[6] 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:
|
[7] J. L. Lions: Quelques méthodes de résolution des problèmes aux limites non linéaires.Paris, 1969. Zbl 0189.40603, MR 0259693 |
| Reference:
|
[8] E. Miersemann: Über höhere Verzweigungspunkte nichtlinearer Variationsungleichungen.Math. Nachr. 85, 1978, 195-213. Zbl 0324.49036, MR 0517651, 10.1002/mana.19780850116 |
| Reference:
|
[9] E. Miersemann: Höhere Eigenwerte von Variationsungleichungen.Beiträge zur Analysis 17, 1981, 65-68. Zbl 0475.49016, MR 0663272 |
| Reference:
|
[10] L. Nirenberg: Topics in nonlinear functional analysis.New York 1974. Zbl 0286.47037, MR 0488102 |
| Reference:
|
[11] P. H. Rabinowitz: Some global results for non-linear eigenvalue problems.J. Functional Analysis 7, 1971, 487-513. MR 0301587, 10.1016/0022-1236(71)90030-9 |
| Reference:
|
[12] P. Quittner: Spectral analysis of variational inequalities.Comment. Math. Univ. Carol. 27 (1986), 605. MR 0873631 |
| Reference:
|
[13] P. Quittner: Bifurcation points and eigenvalues of inequalities of reaction-diffusion type.To appear. Zbl 0617.35053, MR 0916198 |
| Reference:
|
[14] G. T. Whyburn: Topological Analysis.Princeton Univ. Press, Princeton, N.J., 1958. Zbl 0080.15903, MR 0070161 |
| Reference:
|
[15] 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 |
| . |
