## Boundedness of weak solutions to some linear elliptic equations with measure data.(English)Zbl 1212.35179

Summary: We prove boundedness of weak solutions $$u$$ to some linear elliptic equations in divergence form $-\operatorname {div}(a(x)Du(x))=\mu .$ On the right-hand side we have a Radon measure $$\mu$$ with a suitable decay on balls $$0\leq \mu (B(x,\rho))\leq c\rho ^s$$.

### MSC:

 35J99 Elliptic equations and elliptic systems