Abstract
If K(u) is a differentiable functional on a Banach space U, and if P: U → U′ is its gradient, we have shown that the abstract problem of finding u ∈ U such that MATH
is equivalent to finding critical points of K(u). The classical variational method is, therefore, an indirect method; instead of solving directly the weak problem (6.1), we seek special points in the domain of an associated functional.
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© 1976 Springer-Verlag Berlin Heidelberg
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Oden, J.T., Reddy, J.N. (1976). Variational Boundary-Value Problems, Monotone Operators, and Variational Inequalities. In: Variational Methods in Theoretical Mechanics. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-96312-4_6
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DOI: https://doi.org/10.1007/978-3-642-96312-4_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07600-1
Online ISBN: 978-3-642-96312-4
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