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arXiv · 2205.07798

Multiple solutions of a nonlinear biharmonic equation on graphs

Songbo Hou
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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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Songbo Hou. 2022-05-16. Multiple solutions of a nonlinear biharmonic equation on graphs. https://arxiv.org/abs/2205.07798

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