In the rapidly developing area of nonlinear theory of differential equations, many important results have been obtained by the use of nonlinear functional analysis based on topological and variational methods. The survey papers presented in this volume represent the current state of the art in the subject. The methods outlined in this book can be used to obtain new results concerning the existence, uniqueness, multiplicity, and bifurcation of the solutions of nonlinear boundary value problems for ordinary and partial differential equations.
The contributions to this volume are from
well known mathematicians, and every paper contained in this book can serve both as a source of reference for researchers working in differential equations and as a starting point for those wishing to pursue research in this direction. With research reports in the field typically scattered in many papers within various journals, this book provides the reader with recent results in an accessible form.
Table of Contents
Some Extensions of Topological Degree Theory with Applications to Nonlinear Problems, J. Berkovits, University of Oulu, Finland
Some Remarks on the Antimaximum Principle, J.-P. Gossez, University of Brussels
The Fibering Method in Nonlinear Variational Problems, S.I. Pohozaev, Steklov Mathematical Institute of the Russian Academy of Sciences
Index Theories for Indefinite Functionals and Applications, A. Szulkin, University of Stockholm
Topological Characteristics of Fully Nonlinear Parabolic Problems, I.V. Skrypnik, Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences