Topological and Variational Methods for Nonlinear Boundary Value Problems: 1st Edition (Hardback) book cover

Topological and Variational Methods for Nonlinear Boundary Value Problems

1st Edition

By Pavel Drabek

Chapman and Hall/CRC

168 pages

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Hardback: 9780582309210
pub: 1997-04-17
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Description

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

Preface

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

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
MAT007000
MATHEMATICS / Differential Equations