On Exact Pleijel's Constant for Some Domains
On Exact Pleijel's Constant for Some Domains
We provide an explicit expression for the Pleijel constant for the planar disk and some of its sectors, as well as for N -dimensional rectangles. In particular, the Pleijel constant for the disk is equal to 0.4613019... Also, we characterize the Pleijel constant for some rings and annular sectors in …