{"product_id":"9783540573784","title":"Topological Methods for Variational Problems with Symmetries (Lecture Notes in Mathematics, Volume 1560) (2008. 168 S. 235 mm)","description":"\u003cp\u003eSymmetry 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 problems.This book is concerned with Lusternik-Schnirelmann theoryand Morse-Conley theory for group invariant functionals.These 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 systems.Some familiarity with the usualminimax theory and basicalgebraic topology is assumed. 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. 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.\u003c\/p\u003e","brand":"SPRINGER, BERLIN","offers":[{"title":"Default Title","offer_id":48766220959979,"sku":"00000_00000_00000_00000","price":73.15,"currency_code":"SGD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0758\/4484\/5803\/files\/9783540573784-1.jpg?v=1781723349","url":"https:\/\/kinokuniya.com.sg\/ja\/products\/9783540573784","provider":"Books Kinokuniya Singapore","version":"1.0","type":"link"}