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Weak condition for a class of \(p\)-Laplacian Hamiltonian systems

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Abstract

We give a general and weak sufficient condition that is very close to a necessary and sufficient condition for the existence of a sequence of solutions converging to zero for the partial differential equations known as the \(p\)-Laplacian Hamiltonian systems. An application is also given to illustrate our main theoretical result.

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Authors and Affiliations

  1. Department of Mathematics, Higher Institute of Science Computer and Mathematics Monastir, University of Monastir, Monastir, Tunisia

    A. Benhassine

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  1. A. Benhassine
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Correspondence to A. Benhassine.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, 2021, Vol. 208, pp. 3-14 https://doi.org/10.4213/tmf9955.

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Benhassine, A. Weak condition for a class of \(p\)-Laplacian Hamiltonian systems. Theor Math Phys 208, 855–864 (2021). https://doi.org/10.1134/S0040577921070011

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  • DOI: https://doi.org/10.1134/S0040577921070011

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