Variational Methods

  • Stuart S. Antman
Part of the Applied Mathematical Sciences book series (AMS, volume 107)


In this chapter we describe a few simple applications of the calculus of variations to one-dimensional problems of nonlinear elasticity, with the purpose of showing how some very useful physical insights can be easily extracted from the basic theory. The reader should review Secs. II.10 and III.3. We require a mathematical setting somewhat different from that used in bifurcation theory; the technical aspects of this setting are given below in small type.


Banach Space Variational Problem Lower Semicontinuous Convergent Sequence Bifurcation Problem 


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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Stuart S. Antman
    • 1
  1. 1.Department of Mathematics and Institute for Physical Science and TechnologyUniversity of MarylandCollege ParkUSA

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