Approximation diophantienne dans les corps de series en plusieurs variables

We give here a result of diophantine approximation between ${\text{O}}_N$, the ring of power series in several variables, and the completion of the valuation ring that dominates ${\text{O}}_N$ for the $\text{m}$-adic topology. We deduce from this that the Artin function of a homogenous polynomial in two variables is bounded by an affine function, which can be interpreted in term of a Lojasiewicz inequality on the wedges space.