| Title:
|
Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions (English) |
| Author:
|
Drábek, Pavel |
| Author:
|
Kučera, Milan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
36 |
| Issue:
|
1 |
| Year:
|
1986 |
| Pages:
|
116-130 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
35K57 |
| MSC:
|
35P30 |
| MSC:
|
47H15 |
| idZBL:
|
Zbl 0608.35032 |
| idMR:
|
MR822872 |
| DOI:
|
10.21136/CMJ.1986.102072 |
| . |
| Date available:
|
2008-06-09T15:09:09Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102072 |
| . |
| 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] G. Duvant J.-L. Lions: Les inéquations en mechanique et on physique.Dunod, Paris 1972. |
| Reference:
|
[3] S. Fučík A. Kufner: Nonlinear differential equations.Elsevier, Scient. Publ. Соmр., Amsterdam-Oxford-New York 1980. MR 0558764 |
| Reference:
|
[4] 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:
|
[5] P. Drábek M. Kučera: Reaction-diffusion systems: Destabilizing eifect of unilateral conditions.To appear. MR 0969497 |
| Reference:
|
[6] H. Kielhöfer: Stability and semilinear evolution equations in Hilbert space.Arch. Rational Mech. Anal., 57 (1974), 150-165. MR 0442405, 10.1007/BF00248417 |
| Reference:
|
[7] 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:
|
[8] 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:
|
[9] M. Kučera: Bifurcations points of variational inequalities.Czechoslovak Math. J. 32 (107) 1982, 208-226. MR 0654057 |
| Reference:
|
[10] M. Kučera: Bifurcation points of inequalities of reaction-diffusion type.To appear. |
| Reference:
|
[11] M. Kučera J. Neustupa: Destabilizing effect of unilateral conditions in reaction-diffusion systems.Comment. Math. Univ. Carol., 27 (1986), 171-187. MR 0843429 |
| Reference:
|
[12] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Academia, Praha 1967. MR 0227584 |
| Reference:
|
[13] M. Mimura Y. Nishiura M. Yamaguti: Some diffusive prey and predator systems and their bifurcation problems.Ann. New York Acad. Sci., 316 (1979), 490-521. MR 0556853, 10.1111/j.1749-6632.1979.tb29492.x |
| Reference:
|
[14] 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:
|
[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. |
| Reference:
|
[16] E. Zeidler: Vorlesungen über nichtlineare Funktionalanalysis $l$-Fixpunktsätze.TeubnerTexte zur Mathematik, Leipzig 1976. |
| . |
