Abstract
The results presented in this chapter are based on the concepts of degree theory of mapping and the theory of rotation of vector fields, which is equivalent to it; these theories originate in the classical studies of Poincaré, Brouwer, Kronecker, Hopf, Leray, and Schauder. The apparatus of the degree theory of mapping is one of the basic tools of nonlinear analysis and its applications. Therefore, we present the auxiliary material of this chapter in a detailed and self-contained manner.
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© 1999 Springer Science+Business Media Dordrecht
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Bobylev, N.A., Emel’yanov, S.V., Korovin, S.K. (1999). Topological Characteristics of Extremals of Variational Problems. In: Geometrical Methods in Variational Problems. Mathematics and Its Applications, vol 485. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4629-6_4
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DOI: https://doi.org/10.1007/978-94-011-4629-6_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5955-8
Online ISBN: 978-94-011-4629-6
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