# Bifurcation points of reaction-diffusion systems with unilateral conditions

Pavel Drábek; Milan Kučera; Marta Míková

Czechoslovak Mathematical Journal (1985)

- Volume: 35, Issue: 4, page 639-660
- ISSN: 0011-4642

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topDrábek, Pavel, Kučera, Milan, and Míková, Marta. "Bifurcation points of reaction-diffusion systems with unilateral conditions." Czechoslovak Mathematical Journal 35.4 (1985): 639-660. <http://eudml.org/doc/13548>.

@article{Drábek1985,

author = {Drábek, Pavel, Kučera, Milan, Míková, Marta},

journal = {Czechoslovak Mathematical Journal},

keywords = {Stationary solutions; reaction-diffusion systems; unilateral conditions; bifurcation; spatially homogeneous stationary solution; stable},

language = {eng},

number = {4},

pages = {639-660},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Bifurcation points of reaction-diffusion systems with unilateral conditions},

url = {http://eudml.org/doc/13548},

volume = {35},

year = {1985},

}

TY - JOUR

AU - Drábek, Pavel

AU - Kučera, Milan

AU - Míková, Marta

TI - Bifurcation points of reaction-diffusion systems with unilateral conditions

JO - Czechoslovak Mathematical Journal

PY - 1985

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 35

IS - 4

SP - 639

EP - 660

LA - eng

KW - Stationary solutions; reaction-diffusion systems; unilateral conditions; bifurcation; spatially homogeneous stationary solution; stable

UR - http://eudml.org/doc/13548

ER -

## References

top- 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
- S. Fučík A. Kufner, Nonlinear differential equations, Elsevier, Scient. Publ. Соmр., Amsterdam-Oxford- New York 1980. (1980) MR0558764
- P. Drábek M. Kučera, Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions, To appear in Czech. Math. J., 1986. (1986) MR0822872
- M. Kučera, A new method for obtaining eigenvalues of variational inequalities based on bifurcation theory, Čas. pěst. mat. 104 (1979), 389-411. (1979) MR0553173
- 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
- M. Kučera, Bifurcations points of variational inequalities, Czechoslovak Math. J., 32 (107) (1982), 208-226. (1982) MR0654057
- M. Kučera J. Neustupa, Destabilizing effect of unilateral conditions in reaction-diffusion systems, To appear in Comment. Math. Univ. Carol., 1986. (1986) MR0843429
- Y. Nishiura, 10.1137/0513037, SIAM J. Math. Anal. Vol. 13, No. 4, July 1982, 555-593. (1982) Zbl0505.76103MR0661590DOI10.1137/0513037
- P. H. Rabinowitz, 10.1016/0022-1236(71)90030-9, J. Funct. Anal. 7 (1971), 487-513. (1971) Zbl0212.16504MR0301587DOI10.1016/0022-1236(71)90030-9
- 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
- E. Zeidler, Vorlesungen über nichtlineare Funktionalanalysis I - Fixpunktsätze, Teubner-Texte zur Mathematik, Leipzig 1976. (1976) Zbl0326.47053MR0473927

## Citations in EuDML Documents

top- Martin Väth, Instability of Turing type for a reaction-diffusion system with unilateral obstacles modeled by variational inequalities
- Milan Kučera, Reaction-diffusion systems: stabilizing effect of conditions described by quasivariational inequalities
- Jamol I. Baltaev, Milan Kučera, Martin Väth, A variational approach to bifurcation in reaction-diffusion systems with Signorini type boundary conditions
- Milan Kučera, Jiří Neustupa, Destabilizing effect of unilateral conditions in reaction-diffusion systems
- Pavel Drábek, Milan Kučera, Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions
- Milan Kučera, A global continuation theorem for obtaining eigenvalues and bifurcation points
- Jan Eisner, Milan Kučera, Spatial patterns for reaction-diffusion systems with conditions described by inclusions
- Jan Eisner, Milan Kučera, Martin Väth, A variational approach to bifurcation points of a reaction-diffusion system with obstacles and Neumann boundary conditions
- Jan Eisner, Reaction-diffusion systems: Destabilizing effect of conditions given by inclusions
- Pavol Quittner, Solvability and multiplicity results for variational inequalities

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