Topological Nonlinear Analysis by Michele Matzeu

Topological Nonlinear Analysis by Michele Matzeu

Topological tools in Nonlinear Analysis had a tremendous develop- ment during the last few decades. The three main streams of research in this field, Topological Degree, Singularity Theory and Variational Meth- ods, have lately become impetuous rivers of scientific investigation. The process is still going on and the achievements in this area are spectacular. A most promising and rapidly developing field of research is the study of the role that symmetries play in nonlinear problems. Symmetries appear in a quite natural way in many problems in physics and in differential or symplectic geometry, such as closed orbits for autonomous Hamiltonian systems, configurations of symmetric elastic plates under pressure, Hopf Bifurcation, Taylor vortices, convective motions of fluids, oscillations of chemical reactions, etc . . . Some of these problems have been tackled recently by different techniques using equivariant versions of Degree, Singularity and Variations. The main purpose of the present volume is to give a survey of some of the most significant achievements obtained by topological methods in Nonlinear Analysis during the last two-three decades. The survey articles presented here reflect the personal taste and points of view of the authors (all of them well-known and distinguished specialists in their own fields) on the subject matter. A common feature of these papers is that of start- ing with an historical introductory background of the different disciplines under consideration and climbing up to the heights of the most recent re- sults.

Jurgen Appell is Professor at the Mathematics Institute of the University of Wurzburg, Germany. Espedito De Pascale is Professor at the Mathematics Department of the University of Calabria, Italy. Alfonso Vignoli is Professor at the Mathematics Department of the University of Rome, Italy.

SKU	Unavailable
ISBN 13	9781461275848
ISBN 10	1461275849
Title	Topological Nonlinear Analysis
Author	Michele Matzeu
Series	Progress In Nonlinear Differential Equations And Their Applications
Condition	Unavailable
Binding Type	Paperback
Publisher	Springer-Verlag New York Inc.
Year published	2011-09-22
Number of pages	531
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable