{"product_id":"9783540547105","title":"Lecture Notes in Mathematics: with Applications to Elliptic Variational Problems","description":"\u003ch1\u003eLecture Notes in Mathematics: with Applications to Elliptic Variational Problems\u003c\/h1\u003e \u003ch2\u003eMielke, Alexander\u003c\/h2\u003e \u003cp\u003eThe theory of center manifold reduction is studied in this\nmonograph in the context of (infinite-dimensional) Hamil-\ntonian and Lagrangian systems. The aim is to establish a\n\"natural reduction method\" for Lagrangian systems to  their\ncenter manifolds. Nonautonomous problems are considered as\nwell assystems invariant under the action of a Lie group (\nincluding the case of   relative equilibria).\nThe theory is applied to elliptic variational problemson\ncylindrical domains. As a result, all bounded solutions\nbifurcating  from a trivial state can be described by a\nreduced finite-dimensional       variational problem of Lagrangian\ntype. This provides a rigorous            justification of rod theory\nfrom fully nonlinear three-dimensional          elasticity.\nThe book will be of interest to researchers working             in\nclassical mechanics, dynamical systems, elliptic                         variational\nproblems, and continuum mechanics. It begins with               the\nelements of Hamiltonian theory and center manifold reduction\nin     order to make the methods accessible to non-specialists,\nfrom graduate      student level.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 1991-10-23\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540547105\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/BFb0097544\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 140\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45369777324172,"sku":"9783540547105","price":26.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540547105.jpg?v=1772802613","url":"https:\/\/lateknightbooks.com\/products\/9783540547105","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}