J. Eisner:



Publications in referreed journals

[J1]
J. Eisner, M. Kucera: Hopf bifurcation and ordinary differential inequalities. Czechoslovak Math. J. 45 (120), 577-608 (1995). (Impakt faktor: 0.265, rok: 2010 dle WOSu).
[J2]
J. Eisner, M. Kucera: Spatial patterns for reaction-diffusion systems with conditions described by inclusions. Appl. Math. 42, 421-449 (1997).
[J3]
M. Degiovanni, J. Eisner, Stability of essential values under G-convergence. Ricerche di Matematica 59 (2000), Supplemento, 319-339
[J4]
J. Eisner, Reaction-diffusion systems: Destabilizing effect of conditions given by inclusions. Math. Bohem. 125 (2000), 385-420
[J5]
J. Eisner, Reaction-diffusion systems: Destabilizing effect of conditions given by inclusions. Part II, Examples. Math. Bohem. 126 (2001), 119-140
[J6]
J. Eisner, Critical and bifurcation points of reaction-diffusion systems with conditions given by inclusions. Nonlinear Anal. 46 (2001), 69-90
[J7]
J. Eisner, M. Kucera, L. Recke: Smooth continuation of solutions and eigenvalues for variational inequalities based on the implicit function theorem, J. Math. Anal. Appl. 274, No. 1 (2002), 159-180.
[J8]
L. Recke, J. Eisner, M. Kucera: Smooth bifurcation for variational inequalities based on the implicit function theorem, J. Math. Anal. Appl. 275, No. 2 (2002), 615-641.
[J9]
V. Krivan, J. Eisner: Optimal foraging and predator-prey dynamics III, Theoretical Population Biology 63 (2003) 269-279.
[J10]
L. Recke, J. Eisner, M. Kucera: Smooth dependence on parameters of solutions and contact regions for an obstacle problem, J. Math. Anal. Appl. 288 (2003) 462-480
[J11]
J. Eisner, M. Kucera, L. Recke: Smooth bifurcation for an obstacle problem, Differential and Integral Equations, 18, No.2 (2005), 121-140.
[J12]
J. Eisner, M. Kucera, L. Recke: Direction and Stability of Bifurcation Branches for Variational Inequalities. J. Math. Anal. Appl. 301, No. 2 (2005), 276-294.
[J13]
Jan Eisner, Milan Kucera and Lutz Recke: Smooth dependence on parameters for solutions to variational inequalities. Nonlinear Analysis, T.M.A. Volume 62, Issue 5 (2005)[31.8.2005], 849-861
[J14]
Jan Eisner, Milan Kucera and Martin Väth: Degree and global bifurcation for elliptic equations with multivalued unilateral conditions. Nonlinear Analysis, T.M.A. 64 (2006), 1710-1736.
[J15]
Jan Eisner, Milan Kucera and Lutz Recke: Smooth bifurcation for variational inequalities based on Lagrange multipliers. Diff. Int. Equ. 19 No. 9 (2006), 981-1000. [August 2006]
[J16]
V. Krivan, J. Eisner: The effect of the Holling type II functional response on apparent competition. Theoretical Population Biology (2006) 70, 421-430.
[J17]
Jan Eisner, Milan Kucera and Lutz Recke: Bifurcation direction and exchange of stability for variational inequalities on nonconvex sets. Nonlinear Analysis, T.M.A. 67 (2007), 1082-1101.
[J18]
Jan Eisner, Milan Kucera and Martin Väth: Global bifurcation for a reaction-diffusion system with inclusions. Journal of Analysis and its Applications 28 (2009), vol. 4, 373-409. http://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064 vol=28 iss=4 rank=1 (Impakt faktor: 0.371, rok: 2009 dle WOSu).
[J19]
K. Janko, J. Eisner: Sperm-dependent parthenogens delay the spatial expansion of their sexual hosts. Journal of Theoretical Biology (2009), 261(3):431-440. 10.1016/j.jtbi.2009.08.012
[J20]
Jan Eisner, Milan Kucera and Lutz Recke: Smooth dependence on data of solutions and contact regions for a Signorini problem. Nonlinear Analysis, T.M.A. 72 (2010), 1358-1378. http://dx.doi.org/10.1016/j.na.2009.08.014
[J21]
Jan Eisner, Milan Kucera and Martin Väth: Bifurcation points for a reaction-diffusion system with two inequalities. J. Math. Anal. Appl. 265 (2010), 176-194. http://dx.doi.org/10.1016/j.jmaa.2009.10.037
[J22]
Jan Eisner, Milan Kucera and Lutz Recke: Smooth bifurcation branches of solutions for a Signorini problem.. Nonlinear Analysis: Theory, Methods Applications. 74 (2011), 1853-1877. http://dx.doi.org/10.1016/j.na.2010.10.058 (Impakt faktor: 1.487, rok: 2009).
[J23]
L. Berec, J. Eisner, V. Krivan: Adaptive foraging does not always lead to more complex food webs. J. of Theoretical Biology, Volume 266, Issue 2, 21 September 2010, Pages 211-218 http://dx.doi.org/10.1016/j.jtbi.2010.06.034 (Impakt faktor: 2.574, rok: 2009).
[J24]
K. Janko, P. Drozd, J. Eisner: Do clones degenerate over time? Explaining the genetic variability of asexuals through population genetic models. Biology Direct, Vol. 6, Article Number: 17, Published: MAR 3 2011 doi:10.1186/1745-6150-6-17 http://www.biology-direct.com/content/6/1/17 (Impakt faktor: 3.32, rok: 2011).
[J25]
Eisner, J. and Vaeth, M., Location of bifurcation points for a reaction-diffusion system with Neumann-Signorini conditions, Advanced Nonlinear Studies 11 (2011), 809-836. (Impakt faktor: 0.805 (rok: 2010) , 0.644 (rok 2011) dle WOSu).
[J26]
Jan Eisner, Milan Kucera and Lutz Recke: Smooth bifurcation for a Signorini problem on a rectangle (Proceedings of Equadiff 2009.) Math. Bohem. 137 (2012), No. 2, 131-138. <http://mb.math.cas.cz/mb137-2/> <http://dml.cz/handle/10338.dmlcz/142859>
[J27]
Eisner, J. and Vaeth, M., Degree, instability and bifurcation of reactiondiffusion systems with obstacles near certain hyperbolas Nonlin. Anal. Volume 135, April 2016, Pages 158193 doi:10.1016/j.na.2016.01.006 <http://www.sciencedirect.com/science/article/pii/S0362546X16000146>


Publications in referreed proceedings

[RP1]
J. Eisner, M. Kucera: Bifurcation of solutions to reaction-diffusion systems with jumping nonlinearities. In Applied Nonlinear Analysis (A. Sequeira, H. B. da Veiga, J. H. Videman, ed.), Kluwer Academic Plenum Publishers 1999, 79-96.
[RP2]
J. Eisner, M. Kucera: Spatial patterning in reaction-diffusion systems with nonstandard boundary conditions. Fields Institute Communications 25, 2000, 239-256
[RP3]
Jan Eisner, Milan Kucera and Lutz Recke: Smooth Continuation for a Model of Unilaterally Supported Beam Proceedings of International conference Mathematical and Computer Modelling in Science and Engeneering in honour of the 80th birthday of K. Rektorys, Prague 2003, 108-112.
[RP4]
M. Kucera, L. Recke, J. Eisner: Smooth Bifurcation for Variational Inequalities and Reaction-Diffusion Systems, Proceedings of 3rd International ISAAC Congress, Berlin 2001, 1125-1133. World Scientific Publishing 2003.
[RP5]
J. Eisner, M. Kucera, L. Recke: Smooth bifurcation and variation of the contact sets for an obstacle problem. Proceedings of [Equadiff 2003, Hasselt], 281-283. World Scientific Publishing 2005.
[RP6]
M. Kucera, J. Eisner, L. Recke: Smooth bifurcation and exchange of stability for variational inequalities. Proceedings of [Equadiff 2003, Hasselt], 307-310. World Scientific Publishing 2005.
[RP7]
J. Eisner: Bifurcation diagrams for variational inequalities. Proceedings of FSDONNA 2004. (Function Spaces, Differential Operators and Nonlinear Analysis; Milovy, CZ 28.5.-2.6.2004) 87-96. Math. Institute, Academy of Sciences of the Czech Republic. Praha 2005.
[RP8]
M. Kucera, J. Eisner, L. Recke: A global bifurcation result for variational inequalities. Progress in Nonlinear Diff. Eqns and their applications, Volume 64 (2005), 253-264. Proceedings of the Conference Nonlinear Elliptic and Parabolic Problems: A Special Tribute to the Work of Herbert Amann, Zurich, June 28-30, 2004. Preprint 157 (2004).
[RP9]
Jan Eisner, Milan Kucera and Lutz Recke: Bifurcation direction and exchange of stability for an elliptic unilateral BVP. in More Progresses In Analysis. Proceedings of 5th ISAAC Congress, Catania 2005. Editors H.G.W. Begehr, F. Nicolosi. Word Scientific Publishing. Singapore, 2009. 691-700.


Publications in preparation

[P2]
Jan Eisner, Milan Kucera and Lutz Recke: Signorini problem - smooth continuation Submitted to Proceedings of Equadiff 2007.
[P3]
L. Berec, J. Eisner, D. S. Boukal: Rates and patterns in two-sex model of biological invasions. In preparation.
[P4]
K. Janko, J. Eisner: Asexual hybrids support the weaker sexual competitor to survive in hybrid zones. In preparation.
[P5]
V. Krivan, J. Eisner: The effect of dispersal on apparent competition. In preparation.



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