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Multiple Solutions of a Nonlinear Biharmonic Equation on Graphs

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Abstract

In this paper, we consider a biharmonic equation with respect to the Dirichlet problem on a domain of a locally finite graph. Using the variation method, we prove that the equation has two distinct solutions under certain conditions.

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Acknowledgements

This work is partially supported by the National Natural Science Foundation of China (Grant No. 11721101) and by National Key Research and Development Project SQ2020YFA070080.

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  1. Department of Applied Mathematics, College of Science, China Agricultural University, Beijing, 100083, People’s Republic of China

    Songbo Hou

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  1. Songbo Hou
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Correspondence to Songbo Hou.

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Hou, S. Multiple Solutions of a Nonlinear Biharmonic Equation on Graphs. Commun. Math. Stat. 11, 767–774 (2023). https://doi.org/10.1007/s40304-021-00273-4

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  • DOI: https://doi.org/10.1007/s40304-021-00273-4

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