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On the negativity of higher order derivatives of Dirichlet’s energy in plateau’s problem

✍ Scribed by Anthony J. Tromba

Publisher
Springer
Year
2009
Tongue
English
Weight
204 KB
Volume
131
Category
Article
ISSN
0025-2611

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The problem of stability for dynamical systems whose Lagrangian function depends on the derivatives of a higher order than one is studied. The difficulty of this analysis arises from the indefiniteness of the Hamiltonian, so that the well-known Lagrange-Dirichlet theorem cannot be used and the metho