A global continuation theorem for obtaining eigenvalues and bifurcation points
Czechoslovak Mathematical Journal, Tome 38 (1988) no. 1, pp. 120-137
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1988.102206
Classification : 47H15, 58C40, 58E07
@article{10_21136_CMJ_1988_102206,
     author = {Ku\v{c}era, Milan},
     title = {A global continuation theorem for obtaining eigenvalues and bifurcation points},
     journal = {Czechoslovak Mathematical Journal},
     pages = {120--137},
     year = {1988},
     volume = {38},
     number = {1},
     doi = {10.21136/CMJ.1988.102206},
     mrnumber = {925946},
     zbl = {0665.35010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1988.102206/}
}
TY  - JOUR
AU  - Kučera, Milan
TI  - A global continuation theorem for obtaining eigenvalues and bifurcation points
JO  - Czechoslovak Mathematical Journal
PY  - 1988
SP  - 120
EP  - 137
VL  - 38
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1988.102206/
DO  - 10.21136/CMJ.1988.102206
LA  - en
ID  - 10_21136_CMJ_1988_102206
ER  - 
%0 Journal Article
%A Kučera, Milan
%T A global continuation theorem for obtaining eigenvalues and bifurcation points
%J Czechoslovak Mathematical Journal
%D 1988
%P 120-137
%V 38
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1988.102206/
%R 10.21136/CMJ.1988.102206
%G en
%F 10_21136_CMJ_1988_102206
Kučera, Milan. A global continuation theorem for obtaining eigenvalues and bifurcation points. Czechoslovak Mathematical Journal, Tome 38 (1988) no. 1, pp. 120-137. doi: 10.21136/CMJ.1988.102206

[1] E. N. Dancer: On the structure of solutions of non-linear eigenvalue problems. Indiana Univ. Math. Journ., 23 (11), 1974, 1069-1076. | DOI | MR | Zbl

[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

[3] P. Drábek M. Kučera: Reaction-diffusion systems: Destabilizing effect of unilateral conditions. To appear in Nonlinear Analysis. | MR

[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

[5] M. Kučera: Bifurcation points of variational inequalities. Czechoslovak Math. J. 32 (107), 1982, 208-226. | MR

[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

[7] J. L. Lions: Quelques méthodes de résolution des problèmes aux limites non linéaires. Paris, 1969. | MR | Zbl

[8] E. Miersemann: Über höhere Verzweigungspunkte nichtlinearer Variationsungleichungen. Math. Nachr. 85, 1978, 195-213. | DOI | MR | Zbl

[9] E. Miersemann: Höhere Eigenwerte von Variationsungleichungen. Beiträge zur Analysis 17, 1981, 65-68. | MR | Zbl

[10] L. Nirenberg: Topics in nonlinear functional analysis. New York 1974. | MR | Zbl

[11] P. H. Rabinowitz: Some global results for non-linear eigenvalue problems. J. Functional Analysis 7, 1971, 487-513. | DOI | MR

[12] P. Quittner: Spectral analysis of variational inequalities. Comment. Math. Univ. Carol. 27 (1986), 605. | MR

[13] P. Quittner: Bifurcation points and eigenvalues of inequalities of reaction-diffusion type. To appear. | MR | Zbl

[14] G. T. Whyburn: Topological Analysis. Princeton Univ. Press, Princeton, N.J., 1958. | MR | Zbl

[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

Cité par Sources :