{"product_id":"9783540573784","title":"Lecture Notes in Mathematics","description":"\u003ch1\u003eLecture Notes in Mathematics\u003c\/h1\u003e \u003ch2\u003eBartsch, Thomas\u003c\/h2\u003e \u003cp\u003eSymmetry has a strong impact on the number and shape of\nsolutions to        variational problems. This has been observed,\nfor instance, in the search   for periodic solutions of\nHamiltonian systems or of the nonlinear wave      equation; when\none is interested in elliptic equations on symmetric         domains\nor in the corresponding semiflows; and when one is looking\nfor  \"special\" solutions of these problems.\nThis book is concerned with          Lusternik-Schnirelmann theory\nand Morse-Conley theory for group invariant   functionals.\nThese topological methods are developed in detail with         new\ncalculations of the equivariant Lusternik-Schnirelmann\ncategory and versions of the Borsuk-Ulam theorem for very\ngeneral classes of symmetry    groups. The Morse-Conley theory\nis applied to bifurcation problems, in      particular to the\nbifurcation of steady states and hetero-clinic orbits     of\nO(3)-symmetric flows; and to the existence of periodic\nsolutions nearequilibria of symmetric Hamiltonian systems.\nSome familiarity with the usualminimax theory and basic\nalgebraic topology is assumed.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 1993-11-29\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540573784\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/BFb0073859\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 158\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45369790169228,"sku":"9783540573784","price":35.96,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540573784.jpg?v=1772802922","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783540573784","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}