54 citations · 65 across the 7 of their papers we have counts for
8 papers
Torsional rigidity for tangential polygons
Grant Keady
An inequality on torsional rigidity is established. For tangential polygons this inequality is stronger than an inequality of Polya and Szego for convex domains. (A survey of relat…
Functions with constant Laplacian satisfying Robin boundary conditions on an ellipse
Grant Keady, Benchawan Wiwatanapataphee
(Version 3) We study the problem of finding functions, defined within and on an ellipse, whose Laplacian is -1 and which satisfy a homogeneous Robin boundary condition on the ellip…
Inequalities for the fundamental Robin eigenvalue of the Laplacian for box-shaped domains
Grant Keady, Benchawan Wiwatanapataphee
This document consists of two papers, both submitted, and supplementary material. The submitted papers are here given as Parts I and II. Part I establishes results, used in Part II…
Some isoperimetric results concerning undirectional flows in microchannels
Grant Keady, Benchawan Wiwatanapataphee
Three isoperimetric results are treated. (i) At a given pressure gradient, for all channels with given (cross-sectional) area that which maximises the steady flow …
Some physical applications of generalized Lambert functions
István Mező, Grant Keady
In this paper we review the physical applications of the generalized Lambert function recently defined by the first author. Among these applications we mention the eigenstate anoma…
On minimal triangle-free planar graphs with prescribed 1-defective chromatic number
Nirmala Achuthan, N. R. Achuthan, G. Keady
A graph is (m,k)-colourable if its vertices can be coloured with m colours such that the maximum degree of the subgraph induced on the set of all vertices receiving the same colour…