Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities

  • D. Motreanu
  • P. D. Panagiotopoulos

Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 29)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. D. Motreanu, P. D. Panagiotopoulos
    Pages 1-33
  3. D. Motreanu, P. D. Panagiotopoulos
    Pages 35-58
  4. D. Motreanu, P. D. Panagiotopoulos
    Pages 59-92
  5. D. Motreanu, P. D. Panagiotopoulos
    Pages 93-132
  6. D. Motreanu, P. D. Panagiotopoulos
    Pages 133-168
  7. D. Motreanu, P. D. Panagiotopoulos
    Pages 169-196
  8. D. Motreanu, P. D. Panagiotopoulos
    Pages 197-218
  9. D. Motreanu, P. D. Panagiotopoulos
    Pages 219-262
  10. D. Motreanu, P. D. Panagiotopoulos
    Pages 263-309

About this book

Introduction

Boundary value problems which have variational expressions in form of inequal­ ities can be divided into two main classes. The class of boundary value prob­ lems (BVPs) leading to variational inequalities and the class of BVPs leading to hemivariational inequalities. The first class is related to convex energy functions and has being studied over the last forty years and the second class is related to nonconvex energy functions and has a shorter research "life" beginning with the works of the second author of the present book in the year 1981. Nevertheless a variety of important results have been produced within the framework of the theory of hemivariational inequalities and their numerical treatment, both in Mathematics and in Applied Sciences, especially in Engineering. It is worth noting that inequality problems, i. e. BVPs leading to variational or to hemivariational inequalities, have within a very short time had a remarkable and precipitate development in both Pure and Applied Mathematics, as well as in Mechanics and the Engineering Sciences, largely because of the possibility of applying and further developing new and efficient mathematical methods in this field, taken generally from convex and/or nonconvex Nonsmooth Analy­ sis. The evolution of these areas of Mathematics has facilitated the solution of many open questions in Applied Sciences generally, and also allowed the formu­ lation and the definitive mathematical and numerical study of new classes of interesting problems.

Keywords

Eigenvalue eigenvalue problem stability

Authors and affiliations

  • D. Motreanu
    • 1
  • P. D. Panagiotopoulos
    • 2
    • 3
  1. 1.Department of MathematicsUniversity of IasiRomania
  2. 2.Department of Civil EngineeringAristotle UniversityThessalonikiGreece
  3. 3.Faculty of Mathematics and PhysicsRWTH AachenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-4064-9
  • Copyright Information Springer-Verlag US 1999
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-6820-5
  • Online ISBN 978-1-4615-4064-9
  • Series Print ISSN 1571-568X
  • About this book