Topological Methods for Variational Problems with Symmetries. Lecture Notes in Mathematics; 1560.

Bartsch, Thomas

ISBN 10: 354057378X / ISBN 13: 9783540573784

Published by Berlin, Springer, 1993

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-05154 354057378X Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2491402

Bibliographic Details

Title: Topological Methods for Variational Problems...

Publisher: Berlin, Springer

Publication Date: 1993

Binding: Softcover

About this title

Synopsis:

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.