| Abstract: |
| We consider the Dirichlet problem for second-order linear elliptic equations with the first-order term given by a singular vector field $u$. $W^{1,p}$-estimates for weak solutions are derived for the case when $u \in L^n$, where $n \ge 3$ is the spatial dimension. We also discuss the case of more singular $u$ in the weak-$L^n$ space but having nonnegative divergence. |
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