65 citations · 295 across the 21 of their papers we have counts for
4 papers · 1 filter
The Bilaplacian with Robin boundary conditions
Davide Buoso, James B. Kennedy
We introduce Robin boundary conditions for biharmonic operators, which are a model for elastically supported plates and are closely related to the study of spaces of traces of Sobo…
Extremal domains and Pólya-type inequalities for the Robin Laplacian on rectangles and unions of rectangles
Pedro Freitas, James Kennedy
We show that eigenvalues of the Robin Laplacian with a positive boundary parameter on rectangles and unions of rectangtes satisfy Pólya-type inequalities, albeit with an expone…
The nodal line of the second eigenfunction of the Robin Laplacian in can be closed
J. B. Kennedy
We construct a multiply connected domain in for which the second eigenfunction of the Laplacian with Robin boundary conditions has an interior nodal line. In the pro…
On the asymptotic behaviour of the eigenvalues of a Robin problem
Daniel Daners, James B. Kennedy
We prove that every eigenvalue of a Robin problem with boundary parameter on a sufficiently smooth domain behaves asymptotically like as . This generalises…