ENGLISH

Variational methods in mathematical physics: a unified approach

By Philippe Blanchard , Erwin Brüning , G.M. Hayes

Book information

Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Year
1992
ISBN
9783540161905, 3540161902
LCC
QC174.17.V35 B5813 1992
Open Library ID
OL1702394M
Language
english
Format
DJVU
Filesize
5 MB (5636678 bytes)
Series
Texts and Monographs in Physics
Pages
420\420
Time added
2009-08-06 05:14:26
Математика;Математическая физика

Description

This textbook is a comprehensive introduction to variational methods. Its unifying aspect, based on appropriate concepts of compactness, is the study of critical points of functionals via direct methods. It shows the interactions between linear and nonlinear functional analysis. Addressing in particular the interests of physicists, the authors treat in detail the variational problems of mechanics and classical field theories, writing on local linear and nonlinear boundary and eigenvalue problems of important classes of nonlinear partial differential equations, and giving more recent results on Thomas-Fermi theory and on problems involving critical nonlinearities. This book is an excellent introduction for students in mathematics and mathematical physics.

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