A Wiener estimate for relaxed Dirichlet problems in dimension $N\ge 2$

We prove a Wiener energy estimate for relaxed Dirichlet problems $Lu + \mu u =\nu$in$\Omega$,with$L$ an uniformly elliptic operator with bounded coefficients, $\mu$ a measure of ${\mathcal{M}}_0(\mathrm{\Omega })$, $\nu$ a Kato measure and $\mathrm{\Omega }$ a bounded open set of ${\mathbf{R}}^N$, $N\ge 2$. Choosing a particular $\mu$, we obtain an energy estimate also for classical variational Dirichlet problems.