2 papers
math.SP2025
Curl curl versus Dirichlet Laplacian eigenvalues
Jonathan Rohleder
We provide an upper estimate for the eigenvalues of the curl curl operator on a bounded, three-dimensional Euclidean domain in terms of eigenvalues of the Dirichlet Laplacian. The…
math-ph2025
Optimization of quantum graph eigenvalues with preferred orientation vertex conditions
Pavel Exner, Jonathan Rohleder
We discuss Laplacian spectrum on a finite metric graph with vertex couplings violating the time-reversal invariance. For the class of star graphs we determine, under the condition…