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arXiv · 2406.00325

Atypical bifurcation for periodic solutions of $\phi$-Laplacian systems

Pierluigi Benevieri·Guglielmo Feltrin
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Abstract

In this paper, we study the $T$-periodic solutions of the parameter-dependent $\phi$-Laplacian equation \begin{equation*} (\phi(x'))'=F(\lambda,t,x,x'). \end{equation*} Based on the topological degree theory, we present some atypical bifurcation results in the sense of Prodi-Ambrosetti, i.e., bifurcation of $T$-periodic solutions from $\lambda=0$. Finally, we propose some applications to Li\'enard-type equations.

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Pierluigi Benevieri, Guglielmo Feltrin. 2024-06-01. Atypical bifurcation for periodic solutions of $\phi$-Laplacian systems. https://arxiv.org/abs/2406.00325

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