Boundary value problems with signed measure data for semilinear Schrödinger equations

Moshe Marcus

Consider operators $L_V:=\Delta +V$ in a bounded Lipschitz domain $\Omega \subset {\mathbb{R}}^N$. Assume that $V\in C^{\alpha }(\Omega )$ satisfies $|V(x)|\le \bar{a}\mathrm{dist}(x,\partial \Omega {)}^{-2}$ in…