On the Aharonov–Bohm Operators with Varying Poles: The Boundary Behavior of Eigenvalues

Author:

Noris Benedetta,Nys Manon,Terracini Susanna

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference33 articles.

1. Abatangelo L., Felli V., Terracini S.: Singularity of eigenfunctions at the junction of shrinking tubes, Part II. J. Differ. Equ. 256(10), 3301–3334 (2014)

2. Adams R.A., Fournier J.J.F.: Sobolev Spaces, Pure and Applied Mathematics (Amsterdam), vol. 140, 2nd edn. Elsevier/Academic Press, Amsterdam (2003)

3. Aharonov Y., Bohm D.: Significance of electromagnetic potentials in the quantum theory. Phys. Rev. (2) 115, 485–491 (1959)

4. Alessandrini G.: Nodal lines of eigenfunctions of the fixed membrane problem in general convex domains. Comment. Math. Helv. 69(1), 142–154 (1994)

5. Almgren F.J.: Almgren’s Big Regularity Paper: Q-valued Functions Minimizing Dirichlet’s Integral and the Regularity of Area-minimizing Rectifiable Currents Up to Codimension 2, volume 1. World Scientific, Singapore (2000)

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