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On the second eigenvalue of a class of Schrödinger operators

✍ Scribed by Xiangqing Liu; Yisheng Huang


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
507 KB
Volume
71
Category
Article
ISSN
0362-546X

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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