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Global Bifurcation in Variational Inequalities

Applications to Obstacle and Unilateral Problems

  • Textbook
  • © 1997

Overview

Authors:
  1. Vy Khoi Le

    1. Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Klaus Schmitt

    1. Department of Mathematics, University of Utah, Salt Lake City, USA

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Applied Mathematical Sciences (AMS, volume 123)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Introduction

    • Vy Khoi Le, Klaus Schmitt
    Pages 1-15

  3. Some Auxiliary Results

    • Vy Khoi Le, Klaus Schmitt
    Pages 17-22

  4. Bifurcation in Hilbert Spaces

    • Vy Khoi Le, Klaus Schmitt
    Pages 23-38

  5. Degree Calculations — The Hilbert Space Case

    • Vy Khoi Le, Klaus Schmitt
    Pages 39-77

  6. Bifurcation from Infinity in Hilbert Spaces

    • Vy Khoi Le, Klaus Schmitt
    Pages 79-102

  7. Bifurcation in Banach Spaces

    • Vy Khoi Le, Klaus Schmitt
    Pages 103-205

  8. Bifurcation from Infinity in Banach Spaces

    • Vy Khoi Le, Klaus Schmitt
    Pages 207-238

  9. Back Matter

    Pages 239-252
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Keywords

About this book

Bifurcation Problems for Variational Inequalities presents an up-to-date and unified treatment of bifurcation theory for variational inequalities in reflexive spaces and the use of the theory in a variety of applications, such as: obstacle problems from elasticity theory, unilateral problems; torsion problems; equations from fluid mechanics and quasilinear elliptic partial differential equations. The tools employed are the tools of modern nonlinear analysis. This book is accessible to graduate students and researchers who work in nonlinear analysis, nonlinear partial differential equations, and additional research disciplines that use nonlinear mathematics.

Authors and Affiliations

  • Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla, USA

    Vy Khoi Le

  • Department of Mathematics, University of Utah, Salt Lake City, USA

    Klaus Schmitt

Bibliographic Information

  • Book Title: Global Bifurcation in Variational Inequalities

  • Book Subtitle: Applications to Obstacle and Unilateral Problems

  • Authors: Vy Khoi Le, Klaus Schmitt

  • Series Title: Applied Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-1-4612-1820-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1997

  • Hardcover ISBN: 978-0-387-94886-7Published: 24 January 1997

  • Softcover ISBN: 978-1-4612-7298-4Published: 24 November 2013

  • eBook ISBN: 978-1-4612-1820-3Published: 01 December 2013

  • Series ISSN: 0066-5452

  • Series E-ISSN: 2196-968X

  • Edition Number: 1

  • Number of Pages: XIV, 252

  • Topics: Analysis, Classical Mechanics

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