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We derive an existence result for solutions of a differential system whichcharacterizes the equilibria of a particular model in granular matter theory,the so-called partially open table problem for growing sandpiles. Such resultgeneralizes a recent theorem of Cannarsa and Cardaliaguet established for thetotally open table problem. Here, due to the presence of walls at the boundary,the surface flow density at the equilibrium may result no more continuous norbounded, and its explicit mathematical characterization is obtained by domaindecomposition techniques. At the same time we show how these solutions can benumerically computed as stationary solutions of a dynamical two-layer model forgrowing sandpiles and we present the results of some simulations.

An existence result for the sandpile problem on flat tables with walls