Eigenvalues in Spectral Gaps of a Perturbed Periodic Manifold

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dc.creatorPost, Olaf
dc.date2002-07-14
dc.date.accessioned2026-07-07T04:29:18Z
dc.date.available2026-07-07T04:29:18Z
dc.descriptionWe consider a non-compact Riemannian periodic manifold such that the corresponding Laplacian has a spectral gap. By continuously perturbing the periodic metric locally we can prove the existence of eigenvalues in a gap. A lower bound on the number of eigenvalue branches crossing a fixed level is established in terms of a discrete eigenvalue problem. Furthermore, we discuss examples of perturbations leading to infinitely many eigenvalue branches coming from above resp. finitely many branches coming from below.
dc.description30 pages, 3 eps-figures, LaTeX
dc.identifierhttps://arxiv.org/abs/math-ph/0207018
dc.identifierhttp://arxiv.org/abs/math-ph/0207018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57104
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subject35P20; 58J37
dc.titleEigenvalues in Spectral Gaps of a Perturbed Periodic Manifold
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