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Direkte Methoden der Variationsrechnung by Philippe Blanchard

By Philippe Blanchard

Direkte Methoden der Variationsrechnung by Philippe Blanchard

By Philippe Blanchard

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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 excellentintroduction for students in mathematics and mathematical physics.
Product details
Number of Pages:
279
Publication Date:
1982
Publisher:
Springer
Languages:
Published: German
ISBN10:
0387816925
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