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Paper detail

Finite reduction and Morse index estimates for mechanical systems

A simple version of exact finite dimensional reduction for the variational setting of mechanical systems is presented. It is worked out by means of a thorough global version of the implicit function theorem for monotone operators. Moreover, the Hessian of the reduced function preserves all the relevant information of the original one, by Schur's complement, which spontaneously appears in this context. Finally, the results are straightforwardly extended to the case of a Dirichlet problem on a bounded domain.

preprint2011arXivOpen access
Franco CardinGiuseppe De MarcoAlessandro Sfondrini
math-phmath.DSmath.MP
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Franco CardinGiuseppe De MarcoAlessandro Sfondrini

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