This self-contained monograph presents methods for the investigation of nonlinear variational problems. These methods are based on geometric and topological ideas such as topological index, degree of a mapping, Morse-Conley index, Euler characteristics, deformation invariant, homotopic invariant, and the Lusternik-Shnirelman category. Attention is also given to applications in optimisation, mathematical physics, control, and numerical methods.
Audience: This volume will be of interest to specialists in functional analysis and its applications, and can also be recommended as a text for graduate and postgraduate-level courses in these fields.
"... the book is a valuable contribution to the literature. It is well-written, self-contained and it has an extensive bibliography, especially with regard to the literature in the Russian language." (Mathematical Reviews, 2001a)
|Minimization of Nonlinear Functionals|
|Homotopic Methods in Variational Problems|
|Topological Characteristics of Extremals of Variational Problems|
|Table of Contents provided by Publisher. All Rights Reserved.|
Series: MATHEMATICS AND ITS APPLICATIONS (KLUWER )
Number Of Pages: 543
Published: 31st July 1999
Country of Publication: NL
Dimensions (cm): 24.13 x 16.51 x 3.81
Weight (kg): 1.02