Direct Methods of the Calculus of Variations

Part of the Texts and Monographs in Physics book series (TMP)


In our previous chapter we showed that the determination of the extrema, such as the minima, of a function, is central to the calculus of variations. An extreme value problem in its most general form can be understood to be the following.


Banach Space Lower Semicontinuous Fundamental Theorem Weak Topology Hausdorff Space 
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© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  1. 1.Theoretische Physik, Fakultät für PhysikUniversität BielefeldBielefeldGermany
  2. 2.Department of MathematicsUniversity of Cape TownRondeboschSouth Africa

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