The lowest eigenvalue of Schr\"odinger operators on compact manifolds
classification
🧮 math.DG
math.AP
keywords
compacteigenvaluelowestodingerschraverageboundarycase
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The lowest eigenvalue of the Schr\"odinger operator $-\Delta+\mathcal{V}$ 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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