Abstract
Our aim in this paper is to obtain weighted L∞ estimates for Poisson problems involving Hardy–Leray operator −Δ+μ|x|2 or elliptic operators with critical singular gradients −Δu+τ+|x|2x⋅∇. Our method overcomes the difficulty from the singular potentials. Moreover, these estimates could be applied to obtain global W1,p estimates for distributional solution of Hardy problem with the Radon source.
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