Continuum limit of $p$-biharmonic equations on graphs
Continuum limit of $p$-biharmonic equations on graphs
This paper studies the $p$-biharmonic equation on graphs, which arises in point cloud processing and can be interpreted as a natural extension of the graph $p$-Laplacian from the perspective of hypergraph. The asymptotic behavior of the solution is investigated when the random geometric graph is considered and the number of …