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Some notes on a superlinear second order Hamiltonian system

Manuscripta Mathematica, ISSN: 0025-2611, Vol: 154, Issue: 1-2, Page: 59-77
2017
  • 13
    Citations
  • 0
    Usage
  • 2
    Captures
  • 0
    Mentions
  • 0
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Metrics Details

  • Citations
    13
    • Citation Indexes
      13
  • Captures
    2

Article Description

Variational methods are used in order to establish the existence and the multiplicity of nontrivial periodic solutions of a second order dynamical system. The main results are obtained when the potential satisfies different superquadratic conditions at infinity. The particular case of equations with a concave-convex nonlinear term is covered.

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