Sign-Changing Subharmonic Solutions to Unforced Equations with Singular ϕ-Laplacian

  • Alberto Boscaggin
  • Maurizio Garrione
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 47)


We prove the existence of infinitely many subharmonic solutions (with a precise nodal characterization) to the equation
$$\displaystyle{\Big( \frac{u^{\prime}} {\sqrt{1 - {u^{\prime}}^{2}}}\Big)^{\prime} + g(t,u) = 0,}$$
in the unforced case g(t,0) ≡ 0. The proof is performed via the Poincaré–Birkhoff fixed point theorem.


Rotation Number Minimal Period Theory Argument Autonomous Equation Twist Condition 
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The authors wish to thank SISSA for the financial support which has given the pleasant opportunity of taking part in the International Conference on Differential and Difference Equations and Applications in Ponta Delgada, July 2011.


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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità di TorinoTorinoItaly
  2. 2.Dipartimento di Scienze MatematicheUniversità Politecnica delle MarcheAnconaItaly

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