The continuum limit results for p-biharmonic equations on graphs have various potential applications in different fields. One application is in machine learning and data processing tasks, where these results can be utilized to analyze and process point cloud data efficiently. For example, in clustering algorithms, the continuum limit can help in understanding the behavior of data points as the number of points approaches infinity. Additionally, in image processing, these results can be applied to enhance denoising techniques by studying the asymptotic behavior of the solutions. Furthermore, in computational geometry, the continuum limit can provide insights into the geometric structure of data points and their relationships in a graph representation.