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Theoretical and Mathematical Physics

Variational Methods in Mathematical Physics

A Unified Approach

Authors: Blanchard, Philippe, Brüning, Erwin

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  • ISBN 978-3-642-82698-6
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About this Textbook

The first edition (in German) had the prevailing character of a textbook owing to the choice of material and the manner of its presentation. This second (translated, revised, and extended) edition, however, includes in its new parts considerably more recent and advanced results and thus goes partially beyond the textbook level. We should emphasize here that the primary intentions of this book are to provide (so far as possible given the restrictions of space) a selfcontained presentation of some modern developments in the direct methods of the cal­ culus of variations in applied mathematics and mathematical physics from a unified point of view and to link it to the traditional approach. These modern developments are, according to our background and interests: (i) Thomas-Fermi theory and related theories, and (ii) global systems of semilinear elliptic partial-differential equations and the existence of weak solutions and their regularity. Although the direct method in the calculus of variations can naturally be considered part of nonlinear functional analysis, we have not tried to present our material in this way. Some recent books on nonlinear functional analysis in this spirit are those by K. Deimling (Nonlinear Functional Analysis, Springer, Berlin Heidelberg 1985) and E. Zeidler (Nonlinear Functional Analysis and Its Applications, Vols. 1-4; Springer, New York 1986-1990).

Table of contents (11 chapters)

Table of contents (11 chapters)
  • Some Remarks on the History and Objectives of the Calculus of Variations

    Pages 1-14

    Blanchard, Professor Dr. Philippe (et al.)

  • Direct Methods of the Calculus of Variations

    Pages 15-34

    Blanchard, Professor Dr. Philippe (et al.)

  • Differential Calculus in Banach Spaces

    Pages 35-53

    Blanchard, Professor Dr. Philippe (et al.)

  • Extrema of Differentiable Functions

    Pages 54-62

    Blanchard, Professor Dr. Philippe (et al.)

  • Constrained Minimisation Problems (Method of Lagrange Multipliers)

    Pages 63-76

    Blanchard, Professor Dr. Philippe (et al.)

Buy this book

eBook $64.99
price for USA in USD
  • ISBN 978-3-642-82698-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $84.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Variational Methods in Mathematical Physics
Book Subtitle
A Unified Approach
Authors
Translated by
Hayes, G.M.
Series Title
Theoretical and Mathematical Physics
Copyright
1992
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-82698-6
DOI
10.1007/978-3-642-82698-6
Softcover ISBN
978-3-642-82700-6
Series ISSN
1864-5879
Edition Number
1
Number of Pages
XII, 410
Topics