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| Matematický
ústav
Akademie věd České
republiky, v.v.i. |
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Prof. RNDr. Milan Kučera, DrSc.
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| Mathematical Institute of the
Academy of Sciences of the Czech Republic in Prague
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Department of Applied
Mathematics, Faculty of Applied Sciences, University of West Bohemia in
Pilsen
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++420-222
090 747
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++420 377 63 2643 |
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http://math.cas.cz/~kucera
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http://www.KMA.zcu.cz/Milan.Kucera
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Publications
International
Journals:
M. Kučera: Fredholm
alternative
for nonlinear
operators.
Commentationes mathematicae universitatis carolinae 11 337-363 (
1970).
M. Kučera: Hausdorff measures of the
set of critical
values of
functions of the class C-k,alpha.
Comment. Math. Univ. Carol. 13 333-350 (1972).
S. Fučík, M. Kučera, J. Nečas, J. Souček,
V. Souček:
Morse-sard
theorem in infinitedimensional spaces and the investigation of critical
levels.
Časopis pro pěstování matematiky 99 217-243
(1974).
S. Fučík, M. Kučera, J. Nečas: Ranges of
nonlinear
asymptotically
linear operators. Journal of differential equations 17 375-394 (1975).
M. Kučera, J. Nečas: Interior regularity of the
solution to
system of variational inequalities. Časopis pro
pěstování matematiky
102 73-82 (1977).
M. Kučera: A new method for obtaining eigenvalues of
variational inequalities of the special type. Preliminary
communication.
Comment. Math. Univ. Carol. 18 205-210 (1977).
M. Kučera: A new method for obtaining eigenvalues of
variational
inequalities. Branches of eigenvalues of the equation with the
penalty in a special case. Časopis pro pěstování
matematiky 104
295-310 (1979)
M. Kučera: A new method for obtaining eigenvalues of
variational
inequalities based on bifurcation theory. Časopis pro
pěstování
matematiky 104
389-411 (1979)
P. Doktor, M. Kučera: Perturbations of variational
inequalities
and rate of convergence of solutions. Czechoslovak Math. J. 30 426-437
(1980).
M. Kučera: A new method for obtaining eigenvalues of
variational inequalities. Operators with multiple eigenvalues.
Czechoslovak
Math. J. 32 197-207 (1982).
M. Kučera: Bifurcation points of variational
inequlities.
Czechoslovak Math. J. 32 208-226 (1982).
P. Drábek, M. Kučera, M.
Míková: Bifurcation points of
reaction-diffusion systems with unilateral conditions. Czechoslovak
Math. Journal 35 639-660 (1985).
P. Drábek, M. Kučera: Eigenvalues of
inequalities of
reaction-difusion type and destabilizing effect of unilateral
conditions.
Czechoslovak Math. J. 36 116-130 (1986).
M. Kučera, J. Neustupa: Destabilizing effect of
unilateral
conditions in reaction-difusion systems. Comment. Math. Univ. Carol.
27 171-187 (1986).
L. Boccardo, P. Drábek, D. Giachetti, M.
Kučera:
Generalization
of Fredholm alternative for nonlinear differential operators.
Nonlinear Analysis, Theory, Methods, Applications 10, 1083-1103 (1986).
M. Kučera: A global continuation theorem for obtaining
eigenvalues and
bifurcation points. Czechoslovak Math. J. 38 120-137 (1988).
P. Drábek, M. Kučera: Generalized
eigenvalues and
bifurcations
of second order boundary value problems with jumping nonlinearities.
Bulletin of the Australian Math. Soc. 37 179-187 (1988).
P. Drábek, M. Kučera: Reaction-diffusion
systems:
Destabilizing
effect of unilateral conditions. Nonlinear Analysis, Theory,
Methods, Applications 12 1173-1192 (1988).
L. Bocc
ardo, P. Drábek, M. Kučera: Landesman-Lazer conditions
for strongly nonlinear boundary value problems. Comment. Math. Univ.
Carol. 30 411-427 (1989).
M. Bosák, M. Kučera: Bifurcation of Periodic
Solutions
to
Differential Inequalities in R^3. Czechoslovak Math. J. 42 (117)
339-363 (1992).
M. Kučera, M. Bosák: Bifurcation for
quasi-variational
inequalities of reaction-diffusion type. Stability and Applied
Analysis of Continuous Media, Pitagora, Bologna, Vol. 3, No. 2,
111-127 (1993).
J. Eisner, M. Kučera: Hopf bifurcation and ordinary
differential
inequalities. Czechoslovak Math. J. 45 (120), 577-608 (1995).
M. Kučera: Reaction-diffusion systems: Bifurcation and
stabilizing
effect of unilateral conditions given by inclusions. Nonlinear
Analysis, Theory, Methods, Applications 27, No.3, 249-260 (1996).
M. Kučera: Bifurcation of solutions to
reaction-diffusion
systems with conditions described by inequalities and inclusions.
Nonlinear
Analysis, Theory, Methods, Applications 30, No.6, 3683-3694 (1997).
J. Eisner, M. Kučera: Spatial patterns for
reaction-diffusion systems with conditions described by
inclusions. Appl. Math. 42, 421-449 (1997).
M. Kučera: Reaction-diffusion systems: Stabilizing
effect of conditions described by quasivariational inequalities.
Czechoslovak Math. J. 47 (122), 469-486 (1997).
M. Kučera: Stability of bifurcating periodic solutions
of
differential inequalities in R^3. Math. Nachr. 197, 61-88 (1999).
M. Kučera: Bifurcation of periodic solutions to
variational inequalities in R^kappa based on Alexander-Yorke
theorem. Czechoslovak Math. J. 49 (124), 449-474 (1999).
J. Eisner, M. Ku\v cera: 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.
M.
Kučera: Examples of bifurcation of periodic
solutions to
variational inequalities in R^kappa. Czechoslovak Math. J.
50, 225-244 (2000).
J. Eisner, M. Kučera: Spatial patterning in
reaction-diffusion
systems with nonstandard boundary conditions. Fields Institute
Communications Vol. 25, 239-256 (2000).
Kárná, M. Kučera:
Bifurcation for a
problem with jumping nonlinearities. Math. Bohem. 127, No.3, 481-496
(2002).
J. Eisner, M. Kučera, L. Recke: Smooth continuation
of solutions and
eigenvalues for variational inequalities based on the implicit function
theorem. J. Math. Anal. Appl. 274, No.~1, 159--180
(2002).
L. Recke, J. Eisner, M. Kučera: Smooth bifurcation
for variational
inequalities based on the implicit function theorem. J. Math. Anal.
Appl. 275, No.~2, 615--641 (2002).
M. Kučera, 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.
L. Recke, J. Eisner, M. Kučera: Smooth
dependence on
parameters of solutions and contact regions for an obstacle problem,
J. Math. Anal. Appl. 288 (2003) 462--480.
J. Eisner, M. Kučera, L. Recke: Smooth bifurcation
for an obstacle
problem. Diff. Int. Eq. 18, No.2 (2005), 121-140.
J. Eisner, M. Kučera, L. Recke: Direction and
stability of bifurcation
branches for variational inequalities. J. Math. Anal. Appl. 301 (2005),
276-294.
J. Eisner, M. Kučera, L. Recke: Smooth dependence on
parameters of
solutions of variational inequalities. Nonlinear Analysis 62 (2005),
849-861.
J. Eisner, M. Kučera, L. Recke: Bifurcation direction
and exchange of
stability for variational inequalities on nonconvex sets.
Nonlinear Analysis, T.M.A. 67 (2007) , 1082--1101.
J. Eisner, M. Kučera and M. Vaeth: Degree and global
bifurcation for
elliptic equations with multivalued unilateral conditions.
Nonlinear Analysis, T.M.A. 64 (2006), 1710--1736.
M. Kučera, J. Eisner, L. Recke: A global bifurcation
result for
variatinal inequalities. Progress in Nonlinear Differential Equations
and Their Applications, Vol.64, 253-264.
J. Eisner, M. Kučera and L. Recke: Smooth bifurcation
for variational
inequalities based on Lagrange multipliers. Diff. Int. Equ. 19 No. 9
(2006), 981--1000.
J. Eisner, M. Kučera and M. Vaeth: Global
bifurcation of a
reaction-diffusion system with inclusions. To appear in Z. Anal. Anw.
J. Eisner, M. Kučera and L. Recke: Smooth
continuation of a contact
region for a Laplace equation with unilateral boundary conditions.
Submitted.
Proceedings:
S. Fučík, M. Kučera, J. Souček,
V. Souček:
Topics in
nonlinear
spectral theory. In Proceedings of a Summer-School at Neuendorf 1972.
Berlin.
M. Kučera: Morse-Sard theorem for functions from the
class
C^k,lambda. In Proceedings of a Summer School Nonlinear
Analysis, Babylon 1971. Praha, ACADEMIA 1973, 57-60.
M. Kučera: Úvod do problematiky
variačních nerovností.
Sborník letní �koly o numerickém
Ře�ení eliptických rovnic
metodou konečných prvků, Praha 1974. Praha, Universita
Karlova 1976,
str. 119-160.
M. Kučera, J. Nečas, J. Souček: The eigenvalue problem
for
variational inequalities and a new version of the
Ljusternik-Schnirelmann theory.
In Nonlinear analysis. New-York, Academic Press 1978, 125-143.
M. Kučera: Variační nerovnosti a uloha o
kontrole
teploty.
In Sborník 5. Semináře z
parciálních diferenciálních
rovnic,
Al�ovice 1980. Praha, JČSMF 1980. S. 13-33.
M. Kučera: Bifurcation problems for variational
inequalities.
In Equadiff 5. Proceedings of the conference held in Bratislava,
1981. eipzig, Teubner 1982. S. 209-211.
M. Kučera: Stability and bifurcation problems for
reaction-diffusion system with unilateral conditions. In Equadiff 6.
(Ed.: Vosmanský, J. - Zlámal, M.). Brno,
Universita
J. E. Purkyně 1986. S. 227-234.
M. Kučera: A bifurcation of periodic solutions to
ordinary differential
inequalities. In Colloquia of the Janos Bolyai Math. Soc.,
Proceedings of Colloquium on Differential Equations and their
Applications, Budapest 1991. Preprint MU CSAV no.68, 1991.
M. Kučera: Bifurcation of periodic solutions to
differential
inequalities in finite dimensional spaces. Proceedings of the Autumn
School on Variational Inequalities, Paseky 1992. MFF UK 1992.
M. Kučera: Bifurcation of solutions to
reaction-diffusion systems with unilateral conditions. In
Navier-Stokes Equations and Related Nonlinear Problems (A.
Sequeira, ed.). Plenum Press, New York, 1995, pp. 307-322.
J. Eisner, M. Kučera: 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.
J. Eisner, M. Kučera, L. Recke: Smooth bifurcation and
variation of the
contact sets for an obstacle problem. Proceedings of EQUADIFF 2003,
Hasselt (ed. F. Dumortier, H. Broer, J. Mawhin, A. Vanderbauwhede, S.
V. Lunel), 281-283.
M. Kučera, J. Eisner, L. Recke: Smooth
bifurcation and exchange of stability for variational inequalities.
Proceedings of EQUADIFF 2003, Hasselt (ed. F. Dumortier, H. Broer, J.
Mawhin, A. Vanderbauwhede, S. V. Lunel), 307-309.
J. Eisner, M. Kučera, L. 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.
M. Kučera: Influence of Signorini boundary conditions
on
bifurcation in
reaction-diffusion systems. In: More Progresses in Analysis
(Singapore, New Jersey, London, Hong Kong) (Begehr, H. G.W. and
Nicolosi, F., eds.), World ScientificPubl., 2008, 601–610.
J. Eisner, M. Kučera and L. Recke: Bifurcation
direction
and exchange of stability for an elliptic unilateral BVP. In: More
Progresses in Analysis (Singapore, New Jersey, London, Hong Kong)
(Begehr, H. G.W. and Nicolosi, F., eds.), World ScientificPubl.,
2008.
Mimeographed texts (skripta):
A. Doktor, M. Kučera, A.
Kufner: Prostory
funkcí. II.
Hladké funkce.
Praha, SPN 1975. 176 s.
M. Kučera: Úvod do teorie
variačních
nerovnic. ZČU
2007, elektronicky na http://www.kma.zcu.cz/skripta, 40 stran.
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