Variational Methods In Mathematical Physics: A Unified Approach (theoretical And Mathematical Physics)
by Philippe Blanchard /
1992 / English / PDF
18.1 MB Download
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.
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.
