Existence and uniqueness results for Dirichlet problem in weighted Sobolev spaces on unbounded domains

Dirichlet Problem for Elliptic Equations in Weighted Sobolev Spaces

“…This latter condition has been dropped later on in [30,31]. Recently, these results have been extended to the case of unbounded open sets in no-weighted contests (see [8,9] for n ≥ 3, and [12] for n = 2) and also in weighted ones (see [2,3,4,5,6] ). Variational problems can be found in [7,16,17,19,20,21] and related weighted and no-weighted results are proved in [22,23,24].…”