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Variational Methods in Mathematical Physics: A Unified Approach (Theoretical and Mathematical Physics)

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Variational Methods in Mathematical Physics: A Unified Approach (Theoretical and Mathematical Physics) image
ISBN-10:

3540161902

ISBN-13:

9783540161905

Author(s): Erwin Brüning; E. Bruening
Edition: 1
Released: May 14, 1992
Publisher: Springer
Format: Hardcover, 410 pages
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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.

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