{"product_id":"topological-methods-for-variational-problems-with-symmetries-von-thomas-bartsch","title":"Topological Methods for Variational Problems with Symmetries","description":"Symmetry 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.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783540573784\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783540573784","offer_id":39437626605661,"sku":"9783540573784","price":26.7,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/3e927b08-50d4-4fa1-9da3-511d667be47e.jpg?v=1772259175","url":"https:\/\/shop.autorenwelt.de\/products\/topological-methods-for-variational-problems-with-symmetries-von-thomas-bartsch","provider":"Autorenwelt Shop","version":"1.0","type":"link"}