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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

Keywords:

Radon measure
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