| Popis: |
In this paper we prove the existence and uniqueness of the solution to the one and the two obstacles problems associated with a linear elliptic operator, which is non coercive due to the presence of a convection term. We show that the operator is weakly T-monotone and, as a consequence, we establish the Lewy–Stampacchia dual estimates and we study the comparison and the continuous dependence of the solutions as the obstacles vary. As an application, we prove also the existence of solutions for a class of non coercive implicit obstacle problems. |
