Eigenvalues in spectral gaps of a pertur
✍
Olaf Post
📂
Article
📅
2003
🏛
John Wiley and Sons
🌐
English
⚖ 325 KB
## Abstract We 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