Some uniqueness results for singular elliptic problems

Abstract

We prove some uniqueness results for Dirichlet problems for second-order linear elliptic partial differential equations in non-divergence form with singular data in suitable weighted Sobolev spaces, on an open subset Ω of ℝ^n, n ≥ 2, not necessarily bounded or regular

Uniqueness Results for Higher Order Elliptic Equations in Weighted Sobolev Spaces

“…Uniqueness results for different Dirichlet problems in weighted Sobolev spaces for different classes of weights can be found in [8][9][10][11][12]. Studies of Dirichlet problems in the framework of weighted Sobolev spaces and in the case of unbounded domains can be found in [13][14][15][16][17][18][19][20][21][22].…”