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.

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

Science & Math

Erwin Brüning

E. Bruening

Erwin Bruning Philippe Blanchard

Mathematics

Springer

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Books by E. Bruening

See the best price to sell, buy, or rent books by E. Bruening. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

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