VARIATIONAL METHODS IN MATHEMATICAL PHYSICS: A Unified Approach (Texts and Monographs in Physics) - Hardcover

Blanchard, Philippe; Bruning, Erwin

 
9783540161905: VARIATIONAL METHODS IN MATHEMATICAL PHYSICS: A Unified Approach (Texts and Monographs in Physics)

Inhaltsangabe

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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Reseña del editor

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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9783642827006: Variational Methods in Mathematical Physics: A Unified Approach (Theoretical and Mathematical Physics)

Vorgestellte Ausgabe

ISBN 10:  3642827004 ISBN 13:  9783642827006
Verlag: Springer, 2011
Softcover