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Variational Methods in Mathematical Physics: A Unified Approach

✍ Scribed by Philippe Blanchard, Erwin Brüning, G.M. Hayes


Publisher
Springer
Year
1992
Tongue
English
Leaves
420
Series
Theoretical and Mathematical Physics
Edition
1
Category
Library

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✦ Synopsis


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


πŸ“œ SIMILAR VOLUMES


Variational Methods in Mathematical Phys
✍ Professor Dr. Philippe Blanchard, Dr. Erwin BrΓΌning (auth.) πŸ“‚ Library πŸ“… 1992 πŸ› Springer-Verlag Berlin Heidelberg 🌐 English

<p>The first edition (in German) had the prevailing character of a textbook owing to the choice of material and the manner of its presentation. This second (translated, revised, and extended) edition, however, includes in its new parts considerably more recent and advanced results and thus goes part

Variational Methods in Mathematical Phys
✍ Philippe Blanchard, Erwin BrΓΌning πŸ“‚ Library πŸ“… 1992 πŸ› Springer 🌐 English

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.

Variational Methods in Mathematical Phys
✍ Philippe Blanchard, Erwin BrΓΌning πŸ“‚ Library πŸ“… 1992 πŸ› Springer 🌐 English

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.