Abstract
We prove the existence of infinitely many subharmonic solutions (with a precise nodal characterization) to the equation
in the unforced case g(t,0) ≡ 0. The proof is performed via the Poincaré–Birkhoff fixed point theorem.
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- 1.
Incidentally, observe that this situation is really different from the linear problem \(u^{\prime\prime} + \lambda u = 0\); in particular, here resonance phenomena do not appear for any λ > 0 (see [1, Remark 6]).
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Acknowledgements
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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Boscaggin, A., Garrione, M. (2013). Sign-Changing Subharmonic Solutions to Unforced Equations with Singular ϕ-Laplacian. In: Pinelas, S., Chipot, M., Dosla, Z. (eds) Differential and Difference Equations with Applications. Springer Proceedings in Mathematics & Statistics, vol 47. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7333-6_25
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DOI: https://doi.org/10.1007/978-1-4614-7333-6_25
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