On the finiteness of the Morse Index for Schrödinger operators
نویسنده
چکیده
We show that if M is a complete Riemannian manifold and H = ∆ + V is a Schrödinger operator, then the existence of a positive solution of Hu = 0 outside a compact set is equivalent to the finiteness of the Morse index of H .
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تاریخ انتشار 2017