We give a self-contained and simple approach to prove the existence and uniqueness of a weak solution to a linear elliptic boundary value problem with drift in divergence form. Taking advantage of the method of continuity, we also deal with the relative dual problem.

中文翻译：

---

对偶中的两个线性非矫正Dirichlet问题

我们给出了一个独立且简单的方法来证明存在散度形式的线性椭圆形边值问题的弱解的存在性和唯一性。利用连续性的方法，我们还处理相对的双重问题。