Bounds on the negative eigenvalues of Laplacians on finite metric graphs
arXiv:1211.4139 · doi:10.1007/s00020-013-2064-2
Abstract
For a self--adjoint Laplace operator on a finite, not necessarily compact, metric graph lower and upper bounds on each of the negative eigenvalues are derived. For compact finite metric graphs Poincaré type inequalities are given.
17 pages