Homotopy of Extremal Problems

This monograph provides a thorough treatment of parameter-dependent extremal problems with local minimum values that remain unchanged under changes of the parameter.

The authors consider the theory as well the practical treatment of those problems, both in finite-dimensional as well as in infinite-dimensional spaces. Various applications are considered, e.g., variational calculus, control theory and bifurcations theory.

• Thorough treatment of parameter-dependent extremal problems with local minimum values.
• Includes many applications, e.g., variational calculus, control theory and bifurcations theory.
• Intended for specialists in the field of nonlinear analysis and its applications as well as for students specializing in these subjects.
  

Stanislav V. Emelyanov, Nikolai A. Bobylev † and Alexander V. Bulatov, Russian Academy of Sciences, Moscow, Russia; Sergey K. Korovin, Moscow State University (Lomonosov), Moscow, Russia.

"Overall this is a book which should interest many researchers and students working on either variational problems or topological methods for nonlinear boundary value problems."
James R. Ward in: Mathematical Reviews 2009b

"The book is carefully written an it can be read by graduate students. Physicists and engineers who use variational methods will also find here a good source of information."
In: EMS Newsletter 9/2008