For Schrödinger operators with elliptic symmetric vertically independent coefficients and positive B∞ potentials, Lp regularity and Neumann problems are uniquely solvable for 1<p<2+ε and W^{1,p} estimates hold for 3/2−ε<p<3+ε above Lipschitz graphs.
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On the Schr\"odinger equations with $B_\infty$ potentials in the region above a Lipschitz graph
For Schrödinger operators with elliptic symmetric vertically independent coefficients and positive B∞ potentials, Lp regularity and Neumann problems are uniquely solvable for 1<p<2+ε and W^{1,p} estimates hold for 3/2−ε<p<3+ε above Lipschitz graphs.