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On the absence of positive eigenvalues of Schrödinger operators with rough potentials

✍ Scribed by Alexandru D. Ionescu; David Jerison


Publisher
Springer
Year
2003
Tongue
English
Weight
542 KB
Volume
13
Category
Article
ISSN
1016-443X

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Critical potentials of the eigenvalue ra
✍ Songbo Hou 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 300 KB

In this paper, we consider an operator H defined on a compact smooth n-manifold M by H = -+ q acting on functions with Dirichlet or Neumann boundary conditions in the case ∂ M = ∅ and with eigenvalues λ 1 (q) < λ 2 (q) ≤ λ 3 (q) ≤ • • •. We investigate critical potentials of the ratio of two consecu