Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions

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1. E. N. Dancer, 10.1512/iumj.1974.23.23087, Ind. Univ. Math. J. 23 (1974), 1069-1076. (1974) Zbl0276.47051MR0348567DOI10.1512/iumj.1974.23.23087
2. G. Duvant J.-L. Lions, Les inéquations en mechanique et on physique, Dunod, Paris 1972. (1972) 
3. S. Fučík A. Kufner, Nonlinear differential equations, Elsevier, Scient. Publ. Соmр., Amsterdam-Oxford-New York 1980. (1980) MR0558764
4. 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
5. P. Drábek M. Kučera, Reaction-diffusion systems: Destabilizing eifect of unilateral conditions, To appear. MR0969497
6. H. Kielhöfer, 10.1007/BF00248417, Arch. Rational Mech. Anal., 57 (1974), 150-165. (1974) MR0442405DOI10.1007/BF00248417
7. M. Kučera, A new method for obtaining eigenvalues of variational inequalities based on bifurcation theory, Čas. pěst. mat. 104 (1979), 389-411. (1979) MR0553173
8. 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
9. M. Kučera, Bifurcations points of variational inequalities, Czechoslovak Math. J. 32 (107) 1982, 208-226. (1982) MR0654057
10. M. Kučera, Bifurcation points of inequalities of reaction-diffusion type, To appear. 
11. M. Kučera J. Neustupa, Destabilizing effect of unilateral conditions in reaction-diffusion systems, Comment. Math. Univ. Carol., 27 (1986), 171-187. (1986) MR0843429
12. J. Nečas, Les méthodes directes en théorie des équations elliptiques, Academia, Praha 1967. (1967) MR0227584
13. M. Mimura Y. Nishiura M. Yamaguti, 10.1111/j.1749-6632.1979.tb29492.x, Ann. New York Acad. Sci., 316 (1979), 490-521. (1979) MR0556853DOI10.1111/j.1749-6632.1979.tb29492.x
14. Y. Nishiura, 10.1137/0513037, SIAM J. Math. Anal. Vol. 13, No. 4, July 1982, 555-593. (1982) Zbl0505.76103MR0661590DOI10.1137/0513037
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) 
16. E. Zeidler, Vorlesungen über nichtlineare Funktionalanalysis $l$-Fixpunktsätze, TeubnerTexte zur Mathematik, Leipzig 1976. (1976) 

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3. Milan Kučera, Jiří Neustupa, Destabilizing effect of unilateral conditions in reaction-diffusion systems
4. Jiří Neustupa, A principle of linearization in theory of stability of solutions of variational inequalities
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