Topological Methods for Variational Problems with Symmetries

ISBN-13: 9783540573784 / Angielski / Miękka / 1993 / 158 str.

Thomas Bartsch

Opis

This monograph is concerned with Lusternik-Schnirelmann theory and Morse-Conley theory for group invariant functions. These topological methods are developed in detail with new calculations and then applied to various problems. Some familiarity with basic algebraic topology is assumed.

Spis treści

Category, genus and critical point theory with symmetries.- Category and genus of infinite-dimensional representation spheres.- The length of G-spaces.- The length of representation spheres.- The length and Conley index theory.- The exit-length.- Bifurcation for O(3)-equivariant problems.- Multiple periodic solutions near equilibria of symmetric Hamiltonian systems.

O autorze

Dr. Thomas Bartsch promovierte bei Prof. Dr. A. Drexl am Institut für Betriebswirtschaftslehre der Universität Kiel. Er ist als Software-Entwickler bei der SAP AG in Walldorf tätig.