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Existence and multiplicity of solutions for a class of Hamiltonian systems

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Abstract

In this paper we establish the existence of multiple solutions for a class of hamiltonian system with subcritical growth. Here, we use variational method to get multiplicity of solutions using the Lusternik–Schnirelmann category of \({\overline{\Omega }}\) in itself.

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Correspondence to Claudianor O. Alves.

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Communicated by Ansgar Jüngel.

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C. O. Alves was partially supported by CNPq/Brazil 304804/2017-7.

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Alves, C.O., Mukherjee, T. Existence and multiplicity of solutions for a class of Hamiltonian systems. Monatsh Math 192, 269–289 (2020). https://doi.org/10.1007/s00605-020-01379-7

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  • DOI: https://doi.org/10.1007/s00605-020-01379-7

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