English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The second eigenvalue of the Robin Laplacian is shown to be maximal for aspherical cap among simply connected Jordan domains on the 2-sphere, forsubstantial intervals of positive and negative Robin parameters and areas.Geodesic disks in the hyperbolic plane similarly maximize the eigenvalue on anatural interval of negative Robin parameters. These theorems extend work ofFreitas and Laugesen from the Euclidean case (zero curvature) and the authors'hyperbolic and spherical results for Neumann eigenvalues (zero Robinparameter).  Complicating the picture is the numerically observed fact that the secondRobin eigenfunction on a large spherical cap is purely radial, with no angulardependence, when the Robin parameter lies in a certain negative intervaldepending on the cap aperture.

Maximizing the second Robin eigenvalue of simply connected curved membranes