TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS - quarterly international journal is published by the Juliusz Schauder Center for Nonlinear Studies with the assistance of the Nicolaus Copernicus University in Toruń.

TMNA publishes research and survey papers on a wide range of nonlinear analysis, giving preference to those which employ topological methods. Papers in topology which are of intereset in nonlinear problems may also be included.

The central topics are:

• Nonlinear PDE-s and ODE-s. Elliptic and evolution equations;
• Differential inclusions. Control theory;
• Dynamical systems. Hopf bifurcation. Conley index;
• Fixed point and homotopy methods; techniques of the critical point theory;
• Convex analysis, theory of games and mathematical economy.

Specific areas include the following:

• Bifurcation theory. Fully nonlinear elliptic equations. Free boundary problems:
• Global solutions of evolution equations; Behavior at infinity. Finite time blow-up;
• Heat equation, wave equation, Schrodinger equation; Attractors;
• Qualitative properties of solutions of elliptic equations (symmetry, monotonicity,...); applications to problems arising in combustion, flame propagation...
• Properties of Sobolev maps. Variational problems arising in liquid crystals;
• Nonlinear problems in fluid mechanics;
• Topological and variational methods in the presence of symmetries; Hamiltonian systems;
• Generalizations of Leray-Schauder, Lefschetz and Nielsen theory. Equivariant and Borsuk-Ulam-type results, extensions of Morse and Lusternik-Schnirelman theory.

Thomas B. Benjamin (1993-1995)

Samuel Eilenberg (1993-1997)

Jean Leray (1993-1995)

Kazimierz Geba (1993-1997), Andrzej Granas (1993-1997) - Editor in Chief, Yvonne Choquet-Bruhat (1995-2003), Albrech Dold (1993-2003),

Olga Ladyzhenskaja (1993-2003)

Czeslaw Olech (1993-2003)