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RETRACTED ARTICLE: Minimal Period Symmetric Solutions for Some Hamiltonian Systems Via the Nehari Manifold Method

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This article was retracted on 01 September 2020

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Abstract

For a given T > 0, we prove, under the global ARS-condition and using the Nehari manifold method, the existence of a T-periodic solution having the W-symmetry introduced in [21], for the hamiltonian system

$$\ddot{z}+V^\prime(z)=0,\;\;\;z\in\mathbb{R}^N\;\;\;N\in\mathbb{N}*.$$

Moreover, such a solution is shown to have T as a minimal period without relaying to any index theory. A multiplicity result is also proved under the same condition.

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  1. Department of Mathematics, Faculty of Sciences of Monastir, University of Monastir, 5000, Monastir, Tunisia

    Chouhaïd Souissi

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  1. Chouhaïd Souissi
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Souissi, C. RETRACTED ARTICLE: Minimal Period Symmetric Solutions for Some Hamiltonian Systems Via the Nehari Manifold Method. Acta Math Sci 40, 614–624 (2020). https://doi.org/10.1007/s10473-020-0302-7

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  • DOI: https://doi.org/10.1007/s10473-020-0302-7

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