For the Neumann problem of -Δu + V u = div f above a convex graph, the paper establishes the sharp W^{1,p} estimate for all 1 < p < ∞ when V is a B∞ weight.
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$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph
For the Neumann problem of -Δu + V u = div f above a convex graph, the paper establishes the sharp W^{1,p} estimate for all 1 < p < ∞ when V is a B∞ weight.