Abstract
Let be a uniformly strong elliptic operator on an open set ω ⊃ Rnwith boundary ∂ω, where neither ωnor ωis assumed to be bounded. In this paper I prove the existence of weak solutions of the Dirichlet-problem in some weighted Sobolev-spaces. The results refine previous results of Maulen and the author [5].
AMS(MOS) 35J20,26A86