Two linear noncoercive Dirichlet problems in duality (Q1650579)

The paper under review develops an original approach to prove some qualitative results in the framework of linear elliptic PDEs. The authors establish the existence and uniqueness of a weak solution in the case of elliptic boundary value problems with drift in divergence form. The relative dual problem is also considered in the present paper. Key ingredients in the proofs include the method of continuity and the truncation method.