Topological and Variational Methods in Nonlinear Analysis TVMNA'2003


Scientific Committee
and Organizers

General Information

Topics

Announcements

Participants

Schedule of lectures

TMNA'2001 photos

Topological Methods
in Nonlinear Analysis

Juliusz Schauder Center

Schedule of lectures

Monday, 23.06.2003

8:00 – 8:50
Breakfast
8:50 – 9:00
Opening ceremony
9:00 – 9:40
J. Mawhin, Typical Maximum Principles for Differential and Difference Equations 
9:45 – 10:25
C. Stuart, A Sobolev Space Approach to ODE's on the Half-line 
10:25 – 10:50
Coffee break
10:50 – 11:30
R. Kajikiya, Multiple of Solutions of Sublinear Elliptic Equations 
11:35 – 12:15
V. Benci, The Semilinear Maxwell Equations and Solitary Waves 
12:20 – 13:00
Z. Szafraniec, On Trajectories of Analytic Gradient Vector Fields
13:00 – 15:00
Lunch break
15:00 – 15:40
B. Ruf, On an Inequality by N. Trudinger and J. Moser
15:45 – 16:25 
W. Kryszewski, Variational Methods for Systems of Partial Differential Equations with Discontinuous Nonlinearities
16:25 – 17:00
Coffee break
 
Session A
Session B
17:00 – 17:25 K. Wójcik, Discrete Conley Index Criterion for Symbolic Dynamics T. Weth, Five Nontrivial Solutions of a Superlinear Elliptic Equation on Large Bounded Domains
17:30 – 17:55
M. Capiński, Symbolic Dynamic of the Perturbed Lorenz and Rossler Equations Using Covering Relations J. Janczewska, Local Characterization of the Solution Set of von Karman Equations Near Some Bifurcation Points
18:00 – 18:25
Z. Galias, Fixed Points and Periodic Orbits of an Infinite-Dimensional Discrete Dynamical Systems G. Gabor, Invariance Problem and Strict Equilibria of Multivalued Maps
19:30
Welcome party

Tuesday, 24.06.2003

8:00 – 9:00
Breakfast
9:00 – 9:40
T. Bartsch, On the Dynamics of a Nondissipative Parabolic Equation
9:45 – 10:25
N. Hirano, Multiple Existence of Solutions for Nonlinear Schroedinger Equations
10:25 – 10:50
Coffee break
10:50 – 11:30
A. Szulkin, A Semilinear Schroedinger Equation in a Magnetic Field
11:35 – 12:15
R. Srzednicki, Relative Category, Wazewski Theorem and Conley Index
12:20-13:00
V. Zvyagin, The Topological Degree Method in Problems of Hydrodynamics for Motion of a Fluid with a "Memory"
13:00 – 15:00
Lunch break
15:00 – 15:40
A. Maciejewski, Non-integraibity of the Heavy Top Problem - a Differential Galois Approach
15:45 – 16:25
P. Zgliczyński, Rigorous Numerics for Bifurcations in Kuramoto-Sivashinsky PDE 
16:25 – 17:00
Coffee break
 
Session A
Session B
17:00 – 17:25 O. Danilova, Bifurcation of Extre-mals of Functionals with the Symme-try in the Neighbourhood of the Boundary Critical Point W. Radzki, Bifurcation Points of Periodic Solutions of Autonomous Hamiltonian Systems
17:30 – 17:55
P. Bartłomiejczyk, Spectral Sequences and the Conley Index J. Gulgowski, From Global Bifurcation Theorem to the Existence Results for Sturm-Liouville Problems
18:00 – 18:25
L. Shilgba, A Variant Result for Existence of Periodic Solutions of a Class of Hamiltonian Systems With Sign Indefinite Potential A. Ćwiszewski, Equilibria for Perturbations of Accretive Operators
18:45
Dinner

Wednesday, 25.06.2003

8:00 – 9:00
Breakfast
9:00 – 9:40
Y. Du, Mountain Pass Solutions and an Indefinite Superlinear Problem on the Entire Space
9:45 – 10:25
A. Abbondandolo, A Morse Complex for Infinite Dimensional Manifolds I
10:25 – 10:50
Coffee break
10:50 – 11:30
M. Clapp, Minimal Nodal Solutions of the Pure Critical Exponent Problem 
11:35 – 12:15
O. Cornea, Lagrangian Intersections and the Serre Spectral Sequence
12:20 – 13:00
M. Schwarz, Floer Homology and the Loop Product 
13:00 – 15:00
Lunch break
15:00 
Excursion 
20:00
Garden Party (barbecue)

Thursday, 26.06.2003

8:00 – 9:00
Breakfast
9:00 – 9:40
J.-P. Gossez, Asymmetric Elliptic Problem of Neumann Type with Indefinite Weights 
9:45 – 10:25
P. Drabek, Asymptotic Bifurcation Problems for Quasilinear Equations - Existence and Multiplicity Results 
10:25 – 10:50
Coffee break
10:50 – 11:30
D. de Figueiredo, Nonvariational Elliptic Systems 
11:35 – 12:15
V. Coti Zelati, Homoclinic Solutions to Periodic Orbits in a Center Manifold 
12:20 – 13:00
N. Shioji, Multiple Positive Solutions for Singular Elliptic Problems
13:00 – 15:00
Lunch break
15:00 – 15:40
C. Prieto, The First Equivariant Stem for Compact Lie Groups 
15:45 – 16:25
H. Steinlein, On the Reduced Secondary Equivariant Degree for SO(3) x S1 – maps
16:25 – 17:00
Coffee break
 
Session A
Session B
17:00 – 17:40 A. Portaluri, Spectral Flow and It's Applications to Semi-Riemannian Geodesics B. Buffoni, Minimisation Methods for Quasi-linear Problems and Existence of Solitary Water Waves
18:30
Dinner 
19:00
Excursion – Poznań by night

Friday, 27.06.2003

8:00 – 9:00
Breakfast
9:00 – 9:40
C. Gupta, Multi-point Boundary Value Problems Involving a p-Laplacian Type Operator for Ordinary Differential Equations 
9:45 – 10:25
P. Majer, A Morse Complex for Infinite Dimensional Manifolds II
10:25 – 10:50
Coffee break
10:50 – 11:30
D. Fortunato, Solitary Waves and Electromagnetic Fields 
11:35 – 12:15
L. Jeanjean, Mountain Pass Characterization of Least Energy Solutions and Applications
12:20 – 13:00
H. O. Walther, Echo, State-dependent Delays, and Stable Periodic Orbits
13:00 – 15:00
Lunch break
15:00 – 15:40
W. Krawcewicz, Symmetric Systems of van der Pol Equations: Application of
G-degree to Classification of Periodic Solutions
15:45 – 16:25
J. Pejsachowicz, Morse Index Theorem on Semi -riemannian Manifolds
16:25 – 17:00
Coffee break
 
Session A
Session B
17:00 – 17:25 G. Graff, Fixed Point Indices of Iterations of Planar Maps J. Dymkowska, Multidimension Bifurcation of the Helicoid in the Periodic Plateu Problem
17:30 – 17:55
P. Girao, Existence and Nonexi-stence of Least Energy Solutions of the Neumann Problem for a Semili-near Elliptic Equation with Critical Sobolev Exponent and a Critical Lower Order Perturbation D. Vorotnikov, Topological Approach to Investigation of Acoustic Axes in Crystals
18:00 – 18:25 B. Sirakov, Notions of Sublinearity and Superlinearity for Nonvariational Elliptic Systems  
19:00
Farewell party

Saturday, 28.06.2003

8:00 – 9:00
Breakfast
9:00 – 9:40
Z. Balanov, Bounded Solutions to Quadratic Differential Systems and Complex Structures in Non-associative Algebras
9:45 – 10:25
J. Chabrowski, TBA
10:25 – 10:50
Coffee break
10:50 – 11:30
A. Borisovich, Subcritical Bifurcations of the Euler Rod Lying on the Nonlinear Elastic Foundation
13:00 
Lunch 

Schedule in MS Word