**P. Cannarsa, P. Cardaliaguet**

**Titre:**
"*Representation of Equilibrium Solutions
to the Table Problem
for Growing Sandpiles.*"

**Abstract:**
In the dynamical theory of granular matter the so-called table problem
consists in
studying the evolution of a heap of matter poured continuously
onto a bounded domain
$\O\subset \R^2$. The mathematical description of the table problem, at an
equilibrium
configuration, can be reduced to a boundary value problem for a system of
partial
differential equations. The analysis of such a system, also connected with
other
mathematical models such as the Monge-Kantorovich problem, is the object of
this
paper. Our main result is an integral representation formula for the
solution, in
terms of the boundary curvature and of the normal distance to
the cut locus of
$\O$.