Variational Methods in Mathematical Physics
Subtitle: a Unified Approach
By: by Philippe Blanchard, Erwin Brüning
Contributors: Brüning, Erwin
Series: Texts and Monographs in Physics; Texts and monographs in physics
Publisher: Springer Berlin Heidelberg
Published: 1992
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 410
ISBN-13: 9783642827006; 9783642826986
Subjects: Quantum theory; Global analysis (Mathematics); Physics; Mathematical physics
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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