Positively homogeneous equations in the plane

Alessandro Fonda; Rafael Ortega

doi:10.3934/dcds.2000.6.475

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2000, Volume 6, Issue 2: 475-482. Doi: 10.3934/dcds.2000.6.475

This issue Previous Article Bound sets for floquet boundary value problems: The nonsmooth case Next Article Global well-posedness for the Kadomtsev-Petviashvili II equation

Positively homogeneous equations in the plane

Alessandro Fonda^1, and
Rafael Ortega^2,

1.
Dipartimento di Scienze Matematiche, Universita di Trieste, P.le Europa 1 34127 Trieste
2.
Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada

Received: April 30, 1999

Revised: September 30, 1999

Published: March 2000

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Abstract

We prove the multiplicity of periodic solutions to second order ordinary differential equations in $\mathbb R^2$ with nonlinearities crossing the two first eigenvalues of the differential operator.

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Mathematics Subject Classification: 34C25, 34B15.

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