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Uniqueness theorems for variational problems by method of transformation groups

Обложка книги Uniqueness theorems for variational problems by method of transformation groups

Uniqueness theorems for variational problems by method of transformation groups

A classical problem in the calculus of variations is theinvestigation of critical points of functionals {\cal L} on normedspaces V. The present work addresses the question: Under whatconditions on the functional {\cal L} and the underlying space V does{\cal L} have at most one critical point? A sufficient condition foruniqueness is given: the presence of a
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