A global continuation theorem for obtaining eigenvalues and bifurcation points

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1. E. N. Dancer, 10.1512/iumj.1974.23.23087, Indiana Univ. Math. Journ., 23 (11), 1974, 1069-1076. (1974) Zbl0276.47051MR0348567DOI10.1512/iumj.1974.23.23087
2. P. Drábek M. Kučera M. Míková, Bifurcation points of reaction-diffusion systems with unilateral conditions, Czechoslovak Math. J. 35 (110), 1985, 639-660. (1985) MR0809047
3. P. Drábek M. Kučera, Reaction-diffusion systems: Destabilizing effect of unilateral conditions, To appear in Nonlinear Analysis. MR0969497
4. M. Kučera, A new method for obtaining eigenvalues of variational inequalities based on bifurcation theory, Čas. pro pěst. matematiky, 104, 1979, 389-411. (1979) MR0553173
5. M. Kučera, Bifurcation points of variational inequalities, Czechoslovak Math. J. 32 (107), 1982, 208-226. (1982) MR0654057
6. M. Kučera, A new method for obtaining eigenvalues of variational inequalities. Operators with multiple eigenvalues, Czechoslovak Math. J. 32 (107), 1982, 197-207. (1982) MR0654056
7. J. L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires, Paris, 1969. (1969) Zbl0189.40603MR0259693
8. E. Miersemann, 10.1002/mana.19780850116, Math. Nachr. 85, 1978, 195-213. (1978) Zbl0324.49036MR0517651DOI10.1002/mana.19780850116
9. E. Miersemann, Höhere Eigenwerte von Variationsungleichungen, Beiträge zur Analysis 17, 1981, 65-68. (1981) Zbl0475.49016MR0663272
10. L. Nirenberg, Topics in nonlinear functional analysis, New York 1974. (1974) Zbl0286.47037MR0488102
11. P. H. Rabinowitz, 10.1016/0022-1236(71)90030-9, J. Functional Analysis 7, 1971, 487-513. (1971) MR0301587DOI10.1016/0022-1236(71)90030-9
12. P. Quittner, Spectral analysis of variational inequalities, Comment. Math. Univ. Carol. 27 (1986), 605. (1986) MR0873631
13. P. Quittner, Bifurcation points and eigenvalues of inequalities of reaction-diffusion type, To appear. Zbl0617.35053MR0916198
14. G. T. Whyburn, Topological Analysis, Princeton Univ. Press, Princeton, N.J., 1958. (1958) Zbl0080.15903MR0070161
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. (1971) Zbl0281.47043

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