James B. Kennedy

most citedThe nodal line of the second eigenfunction of the Robin Laplacian in

R^{2}

can be closed

2 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.SP2012

Asymptotic behaviour and numerical approximation of optimal eigenvalues of the Robin Laplacian

Pedro R. S. Antunes, Pedro Freitas, James B. Kennedy

We consider the problem of minimising the $n^{t h} -$ eigenvalue of the Robin Laplacian in $R^{N}$ . Although for $n = 1, 2$ and a positive boundary parameter $α$ it is known tha…

math.AP2010★ 2 cited

The nodal line of the second eigenfunction of the Robin Laplacian in $R^{2}$ can be closed

J. B. Kennedy

We construct a multiply connected domain in $R^{2}$ for which the second eigenfunction of the Laplacian with Robin boundary conditions has an interior nodal line. In the pro…

math.AP2010★ 2 cited

Closed nodal surfaces for simply connected domains in higher dimensions

J. B. Kennedy

We give an example of a domain in dimension $N \geq 3$ , homeomorphic to a ball and with analytic boundary, for which the second eigenvalue of the Dirichlet Laplacian has an eigenfu…

Asymptotic behaviour and numerical approximation of optimal eigenvalues of the Robin Laplacian

The nodal line of the second eigenfunction of the Robin Laplacian in R2 can be closed

Closed nodal surfaces for simply connected domains in higher dimensions

The nodal line of the second eigenfunction of the Robin Laplacian in $R^{2}$ can be closed