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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 18
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 18, Issue 5, October 2011
  4. Finite reduction and Morse index estimates for mechanical systems
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Nonlinear Differential Equations and Applications NoDEA : Volume 23
Nonlinear Differential Equations and Applications NoDEA : Volume 22
Nonlinear Differential Equations and Applications NoDEA : Volume 21
Nonlinear Differential Equations and Applications NoDEA : Volume 20
Nonlinear Differential Equations and Applications NoDEA : Volume 19
Nonlinear Differential Equations and Applications NoDEA : Volume 18
Nonlinear Differential Equations and Applications NoDEA : Volume 18, Issue 6, December 2011
Nonlinear Differential Equations and Applications NoDEA : Volume 18, Issue 5, October 2011
Local bifurcation-branching analysis of global and “blow-up” patterns for a fourth-order thin film equation
Nonlinear elliptic fourth order equations existence and multiplicity results
Finite reduction and Morse index estimates for mechanical systems
Strong lower energy estimates for nonlinearly damped Timoshenko beams and Petrowsky equations
Exponentially stable equilibria to an indefinite nonlinear Neumann problem in smooth domains
Nonlinear Differential Equations and Applications NoDEA : Volume 18, Issue 4, August 2011
Nonlinear Differential Equations and Applications NoDEA : Volume 18, Issue 3, June 2011
Nonlinear Differential Equations and Applications NoDEA : Volume 18, Issue 2, April 2011
Nonlinear Differential Equations and Applications NoDEA : Volume 18, Issue 1, February 2011
Nonlinear Differential Equations and Applications NoDEA : Volume 17
Nonlinear Differential Equations and Applications NoDEA : Volume 16
Nonlinear Differential Equations and Applications NoDEA : Volume 15
Nonlinear Differential Equations and Applications NoDEA : Volume 14
Nonlinear Differential Equations and Applications NoDEA : Volume 13
Nonlinear Differential Equations and Applications NoDEA : Volume 12
Nonlinear Differential Equations and Applications NoDEA : Volume 11
Nonlinear Differential Equations and Applications NoDEA : Volume 10
Nonlinear Differential Equations and Applications NoDEA : Volume 9
Nonlinear Differential Equations and Applications NoDEA : Volume 8
Nonlinear Differential Equations and Applications NoDEA : Volume 7
Nonlinear Differential Equations and Applications NoDEA : Volume 6
Nonlinear Differential Equations and Applications NoDEA : Volume 5
Nonlinear Differential Equations and Applications NoDEA : Volume 4

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Finite reduction and Morse index estimates for mechanical systems

Content Provider SpringerLink
Author Cardin, Franco De Marco, Giuseppe Sfondrini, Alessandro
Copyright Year 2011
Abstract 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.
Ending Page 569
Page Count 13
Starting Page 557
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 5
Volume Number 18
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2011-03-10
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Hamilton's principle Analysis Finite-dimensional reduction Morse index Index theory, Morse-Conley indices Semilinear elliptic equations Calculus of variations
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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