Librería Samer Atenea
Librería Aciertas (Toledo)
Kálamo Books
Librería Perelló (Valencia)
Librería Elías (Asturias)
Donde los libros
Librería Kolima (Madrid)
Librería Proteo (Málaga)
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.
