New Bounds for the Principal Dirichlet Eigenvalue of Planar Regions
Antunes, Pedro R. S.; Freitas, Pedro
Experimental Mathematics, 15(3) (2006), 333-342
We present a numerical study for the first Dirichlet eigenvalue of certain classes of planar regions. Based on this, we propose new types of bounds and establish several conjectures regarding the dependence of this eigenvalue on the perimeter and the area.