{ "item_title" : "Uniqueness Theorems for Variational Problems by the Method of Transformation Groups", "item_author" : [" Wolfgang Reichel "], "item_description" : "A classical problem in the calculus of variations is the investigation of critical points of functionals {\cal L} on normed spaces V. The present work addresses the question: Under what conditions on the functional {\cal L} and the underlying space V does {\cal L} have at most one critical point? A sufficient condition for uniqueness is given: the presence of a variational sub-symmetry, i.e., a one-parameter group G of transformations of V, 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. ", "item_img_path" : "https://covers4.booksamillion.com/covers/bam/3/54/021/839/3540218394_b.jpg", "price_data" : { "retail_price" : "49.95", "online_price" : "49.95", "our_price" : "49.95", "club_price" : "49.95", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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