Uniqueness Results through a Priori Estimates Part II. Dirichlet Problem

Global L` bound and uniqueness results about the Dirichlet problem, yDuq a usu nq2.r ny2., uG0 in V, us0 on ­V, are obtained, where V;Rn nG3.is a bounded smooth domain and a g 0, l1.is close to l1, the first eigenvalue of yD with Dirichlet boundary condition