Geometrical Methods in Variational Problems (Mathematics and Its Applications) by N.A. Bobylov
Geometrical Methods in Variational Problems (Mathematics and Its Applications) by N.A. Bobylov
English | July 31, 1999 | ISBN: 0792357809 | 555 Pages | PDF | 19 MB
English | July 31, 1999 | ISBN: 0792357809 | 555 Pages | PDF | 19 MB
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.