Variational methods in mathematical physics : a unified approach
著者
書誌事項
Variational methods in mathematical physics : a unified approach
（Texts and monographs in physics）
Springer-Verlag, c1992
- : us
- : gw
- タイトル別名
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Direkte Methoden der Variationsrechnung
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注記
Translation of: Direkte Methoden der Variationsrechnung
Includes bibliographical references and index
内容説明・目次
内容説明
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.
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