Title: Closed nodal surfaces for simply connected domains in higher dimensions
Authors: James Kennedy
Issue: Volume 62 (2013), Issue 3, 785-798
Abstract:
![We give an example of a domain in dimension $N\geq3$, homeomorphic to a ball and with analytic boundary, for which the second eigenvalue of the Dirichlet Laplacian has an eigenfunction with a closed nodal surface. The domain is constructed via a sequence of perturbations of the domain of S. Fournais [J.\ Differential Equations \textbf{173} (2001), 145--159].](https://iumj.s3-us-west-2.amazonaws.com/abstracts/4975.png)
Title: Closed nodal surfaces for simply connected domains in higher dimensions
Authors: James Kennedy
Issue: Volume 62 (2013), Issue 3, 785-798
Abstract: