Geometrical Methods in Variational Problems
By: by N. A. Bobylev, S. V. Emel'yanov, S. K. Korovin
Contributors: Emel'yanov, S. V.; Korovin, S. K.
Series: Mathematics and Its Applications -- 485; Mathematics and Its Applications -- 485
Publisher: Springer Netherlands
Published: 1999
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 543
ISBN-13: 9789401059558; 9789401146296
Subjects: Differential Equations; Mathematics; Differential equations, partial; Mathematical optimization; Global analysis
Description: 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.
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