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Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities

  • Book
  • © 1999

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Authors:
  1. D. Motreanu

    1. Department of Mathematics, University of Iasi, Romania

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  2. P. D. Panagiotopoulos

    1. Department of Civil Engineering, Aristotle University, Thessaloniki, Greece
      Faculty of Mathematics and Physics, RWTH Aachen, Germany

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    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xviii
    Download chapter PDF

  2. Elements of Nonsmooth Analysis. Hemivariational Inequalities

    • D. Motreanu, P. D. Panagiotopoulos
    Pages 1-33

  3. Nonsmooth Critical Point Theory

    • D. Motreanu, P. D. Panagiotopoulos
    Pages 35-58

  4. Minimax Methods for Variational-Hemivariational Inequalities

    • D. Motreanu, P. D. Panagiotopoulos
    Pages 59-92

  5. Eigenvalue Problems for Hemivariational Inequalities

    • D. Motreanu, P. D. Panagiotopoulos
    Pages 93-132

  6. Multiple Solutions of Eigenvalue Problems for Hemivariational Inequalities

    • D. Motreanu, P. D. Panagiotopoulos
    Pages 133-168

  7. Eigenvalue Problems for Hemivariational Inequalities on the Sphere

    • D. Motreanu, P. D. Panagiotopoulos
    Pages 169-196

  8. Resonant Eigenvalue Problems for Hemivariational Inequalities

    • D. Motreanu, P. D. Panagiotopoulos
    Pages 197-218

  9. Double Eigenvalue Problems for Hemivariational Inequalities

    • D. Motreanu, P. D. Panagiotopoulos
    Pages 219-262

  10. Periodic and Dynamic Problems

    • D. Motreanu, P. D. Panagiotopoulos
    Pages 263-309
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematics, University of Iasi, Romania

    D. Motreanu

  • Department of Civil Engineering, Aristotle University, Thessaloniki, Greece

    P. D. Panagiotopoulos

  • Faculty of Mathematics and Physics, RWTH Aachen, Germany

    P. D. Panagiotopoulos

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