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Introductory Typical Examples

In: Nonlinear Functional Analysis and its Applications

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  • Eberhard Zeidler

    (Sektion Mathematik)

Abstract

In the following we wish to present many concrete examples, foregoing extensive technical details, whose solutions have contributed essentially to the development of a general theory of extremal problems. A glance at the organization of this chapter in the Contents shows the variety of different problems one encounters. In this connection, an especially central position is assumed by Section 37.4, where we discuss a number of fundamental ideas from the classical calculus of variations. The ideas of the calculus of variations have influenced the modern theory of extremal problems in an essential way, and knowledge of these classical ideas is indispensable for a thorough understanding of the modern development.

Suggested Citation

  • Eberhard Zeidler, 1985. "Introductory Typical Examples," Springer Books, in: Nonlinear Functional Analysis and its Applications, chapter 0, pages 12-142, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-5020-3_2
    DOI: 10.1007/978-1-4612-5020-3_2
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