Extensions of an inequality by Pólya and Schiffer for vibrating membranes
Extensions of an inequality by Pólya and Schiffer for vibrating membranes
The inequality by Pόlya and Schiffer considered in this paper is concerned with the sume of the n first reciprocal eigenvalues of the problem Ju+λu= 0 in G, % = 0on dG.First we extend this inequality to the problem of an inhomogeneous membrane Δu + λpu = 0 in G, …