Description: Topological Methods for Variational Problems With Symmetries, Paperback by Bartsch, Thomas, ISBN 354057378X, ISBN-13 9783540573784, Brand New, Free shipping in the US Symmetry has a strong impact on the number and shape ofsolutions to variational problems. This has been observed,for instance, in the search for periodic solutions ofHamiltonian systems or of the nonlinear wave equation; whenone is interested in elliptic equations on symmetric domainsor in the corresponding semiflows; and when one is lookingfor "special" solutions of these book is concerned with Lusternik-Schnirelmann theoryand Morse-Conley theory for group invariant topological methods are developed in detail with newcalculations of the equivariant Lusternik-Schnirelmanncategory and versions of the Borsuk-Ulam theorem for verygeneral classes of symmetry groups. The Morse-Conley theoryis applied to bifurcation problems, in particular to thebifurcation of steady states and hetero-clinic orbits ofO(3)-symmetric flows; and to the existence of periodicsolutions nearequilibria of symmetric Hamiltonian familiarity with the usualminimax theory and basicalgebraic topology is assumed.
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Book Title: Topological Methods for Variational Problems With Symmetries
Number of Pages: X, 158 Pages
Language: English
Publication Name: Topological Methods for Variational Problems with Symmetries
Publisher: Springer Berlin / Heidelberg
Subject: Calculus, Topology, Physics / General, Mathematical Analysis
Publication Year: 1993
Item Weight: 19 Oz
Type: Textbook
Item Length: 9.3 in
Author: Thomas Bartsch
Subject Area: Mathematics, Science
Series: Lecture Notes in Mathematics Ser.
Item Width: 6.1 in
Format: Trade Paperback
