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Více informací o knize Topological Methods for Variational Problems with Symmetries

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Anotace knihy

Symmetry has a strong impact on the number and shape of§solutions to variational problems. This has been observed,§for instance, in the search for periodic solutions of§Hamiltonian systems or of the nonlinear wave equation; when§one is interested in elliptic equations on symmetric domains§or in the corresponding semiflows; and when one is looking§for "special" solutions of these problems.§This book is concerned with Lusternik-Schnirelmann theory§and Morse-Conley theory for group invariant functionals.§These topological methods are developed in detail with new§calculations of the equivariant Lusternik-Schnirelmann§category and versions of the Borsuk-Ulam theorem for very§general classes of symmetry groups. The Morse-Conley theory§is applied to bifurcation problems, in particular to the§bifurcation of steady states and hetero-clinic orbits of§O(3)-symmetric flows; and to the existence of periodic§solutions nearequilibria of symmetric Hamiltonian systems.§Some familiarity with the usualminimax theory and basic§algebraic topology is assumed.

Parametry knihy

Zařazení knihy Knihy v angličtině Technology, engineering, agriculture Technology: general issues Maths for engineers

• Plný název: Topological Methods for Variational Problems with Symmetries
• Autor: Thomas Bartsch
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 158
• EAN: 9783540573784
• ISBN: 354057378X
• ID: 01565725
• Nakladatelství: Springer, Berlin
• Hmotnost: 264 g
• Rozměry: 239 × 153 × 12 mm
• Rok vydání: 2008

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