Geometrical Methods in Variational Problems
by N. A. Bobylev
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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Differential Equations, Mathematics, Differential equations, partial, Mathematical optimization, Global analysis, Partial Differential equations, Calculus of Variations and Optimal Control; Optimization, Optimization, Global Analysis and Analysis on Manifolds, Ordinary Differential Equations| Edition | Availability |
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Geometrical Methods in Variational Problems
1999, Springer Netherlands
electronic resource /
in English
9401059551 9789401059558
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| March 28, 2025 | Edited by ImportBot | Redacting ocaids |
| September 29, 2024 | Edited by MARC Bot | import existing book |
| October 8, 2021 | Edited by ImportBot | import existing book |
| October 10, 2020 | Edited by ImportBot | import existing book |
| June 30, 2019 | Created by MARC Bot | Imported from Internet Archive item record |