The lowest eigenvalue of Schrödinger operators on compact manifolds

2015/08/11 by Dabkowski, Michael G., Lock, Michael T.
#35J10 #35P15 #53C21 #58J05 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1508.02755

Abstract

The lowest eigenvalue of the Schrödinger operator -Δ+V on a compact Riemannian manifold without boundary is studied. We focus on the particularly subtle case of a sign changing potential with positive average.

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