Maurizio Garrione
Abstract:
We introduce a Landesman-Lazer type nonresonance condition at zero
for planar systems and discuss its rotational interpretation.
We then show an application concerning multiplicity of T-periodic solutions
to unforced Hamiltonian systems like
for which the nonlinearity is resonant both at zero and at infinity,
refining and complementing some recent results.
Submitted November 10, 2014. Published January 27, 2015.
Math Subject Classifications: 34C25, 37E45.
Key Words: Landesman-Lazer condition; rotation number; multiplicity.
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Maurizio Garrione Dipartimento di Matematica ed Applicazioni Università di Milano-Bicocca Via Cozzi 55, I-20125 Milano, Italy email: maurizio.garrione@unimib.it |
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