{"product_id":"9783540218395","title":"Lecture Notes in Mathematics","description":"\u003ch1\u003eLecture Notes in Mathematics\u003c\/h1\u003e \u003ch2\u003eReichel, Wolfgang\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eA classical problem in the calculus of variations is the investigation of critical points of functionals {\\cal L} on normed spaces \u003cem\u003eV\u003c\/em\u003e. The present work addresses the question: Under what conditions on the functional {\\cal L} and the underlying space \u003cem\u003eV \u003c\/em\u003edoes {\\cal L} have at most one critical point?\u003c\/p\u003e\n\u003cp\u003eA sufficient condition for uniqueness is given: the presence of a \"variational sub-symmetry\", i.e., a one-parameter group \u003cem\u003eG \u003c\/em\u003eof transformations of \u003cem\u003eV\u003c\/em\u003e, which strictly reduces the values of {\\cal L}. The \"method of transformation groups\" is applied to second-order elliptic boundary value problems on Riemannian manifolds. Further applications include problems of geometric analysis and elasticity. \u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2004-05-13\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540218395\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/b96984\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":45369689407628,"sku":"9783540218395","price":44.96,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540218395.jpg?v=1775673798","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783540218395","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}