Access this book
Tax calculation will be finalised at checkout
Other ways to access
About this book
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).
Similar content being viewed by others
Keywords
Table of contents (11 chapters)
-
Front Matter
-
Back Matter
Authors and Affiliations
Bibliographic Information
Book Title: Variational Methods in Mathematical Physics
Book Subtitle: A Unified Approach
Authors: Philippe Blanchard, Erwin Brüning
Series Title: Theoretical and Mathematical Physics
DOI: https://doi.org/10.1007/978-3-642-82698-6
Publisher: Springer Berlin, Heidelberg
-
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1992
Softcover ISBN: 978-3-642-82700-6Published: 08 December 2011
eBook ISBN: 978-3-642-82698-6Published: 06 December 2012
Series ISSN: 1864-5879
Series E-ISSN: 1864-5887
Edition Number: 1
Number of Pages: XII, 410
Topics: Mathematical Methods in Physics, Numerical and Computational Physics, Simulation, Quantum Information Technology, Spintronics, Quantum Physics, Analysis