On the buckling eigenvalue problem
Pedro R. S. Antunes · Journal of Physics A Mathematical and Theoretical · 2011
We prove a density result which allows us to justify the application of the method of fundamental solutions to solve the buckling eigenvalue problem of a plate.We address an example of an analytic convex domain for which the first eigenfunction does change the sign and present a large-scale numerical study with polygons providing numerical evidence to some new conjectures.