We give a proof of the asymptotic completeness for the wave operators associated to the pair (h(D), h(D) + VS + VL) = (H0, H), where h is a simply characteristic symbol, VS a short-range perturbation ...

We prove that Δ u + huα = 0 has no positive solutions for certain h, α by studying the linearized equation (Δ + huα - 1)ψ = eψ. Journal Information This monthly journal, begun in 1950, is devoted ...