Variational methods in topology

The book is devoted to the issues of modern multidimensional calculus of variations. The central place in it is occupied by the presentation of the original methods developed by the author for the explicit finding of multidimensional extremals of functionals and the study of their topological properties. The book is unique in that it presents a solution to the spectral multidimensional Plateau problem in a form accessible to a wide range of specialists.

For mathematicians specializing in topology, global calculus of variations, functional analysis, theory of differential equations, Lie groups and algebras. It can serve as the basis for special courses and special seminars.