58 research outputs found
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.Comment: 13 pages; v2: minor changes, to appear in Nonlinear Differential
Equations and Application
Estimation of Vector Fields in Unconstrained and Inequality Constrained Variational Problems for Segmentation and Registration
Survival ofCorynebacterium sepedonicum at freezing and at wide fluctuations between freezing and above-freezing temperatures
The frequency distribution of tetracotyles of Apatemon gracilis pellucidus (Yamaguti, 1933) in stickleback Culaea inconstans (Kirtland) populations of homogeneous age and size structure
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