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Nonconvex Optimization and Its Applications

Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems

Authors: Motreanu, Dumitru, Radulescu, Vicentiu D.

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Hardcover $169.99
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About this book

This book reflects a significant part of authors' research activity dur­ ing the last ten years. The present monograph is constructed on the results obtained by the authors through their direct cooperation or due to the authors separately or in cooperation with other mathematicians. All these results fit in a unitary scheme giving the structure of this work. The book is mainly addressed to researchers and scholars in Pure and Applied Mathematics, Mechanics, Physics and Engineering. We are greatly indebted to Viorica Venera Motreanu for the careful reading of the manuscript and helpful comments on important issues. We are also grateful to our Editors of Kluwer Academic Publishers for their professional assistance. Our deepest thanks go to our numerous scientific collaborators and friends, whose work was so important for us. D. Motreanu and V. Radulescu IX Introduction The present monograph is based on original results obtained by the authors in the last decade. This book provides a comprehensive expo­ sition of some modern topics in nonlinear analysis with applications to the study of several classes of boundary value problems. Our framework includes multivalued elliptic problems with discontinuities, variational inequalities, hemivariational inequalities and evolution problems. The treatment relies on variational methods, monotonicity principles, topo­ logical arguments and optimization techniques. Excepting Sections 1 and 3 in Chapter 1 and Sections 1 and 3 in Chapter 2, the material is new in comparison with any other book, representing research topics where the authors contributed. The outline of our work is the following.

Table of contents (11 chapters)

  • Elements of Nonsmooth Analysis

    Motreanu, D. (et al.)

    Pages 1-29

  • Critical Points for Nonsmooth Functionals

    Motreanu, D. (et al.)

    Pages 31-65

  • Variational Methods

    Motreanu, D. (et al.)

    Pages 67-98

  • Multivalued Elliptic Problems in Variational Form

    Motreanu, D. (et al.)

    Pages 99-137

  • Boundary Value Problems in Non-Variational Form

    Motreanu, D. (et al.)

    Pages 139-168

Buy this book

eBook $129.00
price for USA in USD (gross)
  • ISBN 978-1-4757-6921-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-1-4020-1385-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.99
price for USA in USD
  • ISBN 978-1-4419-5248-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems
Authors
Series Title
Nonconvex Optimization and Its Applications
Series Volume
67
Copyright
2003
Publisher
Springer US
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-1-4757-6921-0
DOI
10.1007/978-1-4757-6921-0
Hardcover ISBN
978-1-4020-1385-0
Softcover ISBN
978-1-4419-5248-6
Series ISSN
1571-568X
Edition Number
1
Number of Pages
XII, 380
Topics