Scientific publications
* (Corresponding author)
arXiv (Cornell University)
The asymptotic behavior of second order self-adjoint elliptic Steklov\neigenvalue problems with periodic rapidly oscillating coefficients and with\nindefinite (sign-changing) density function is investigated in periodically\nperforated domains. We prove that the spectrum of this problem is discrete and\nconsists of two sequences, one tending to -{\\infty} and another to +{\\infty}.\nThe limiting behavior of positive and negative eigencouples depends crucially\non whether the average of the weight over the surface of the reference hole is\npositive, negative or equal to zero. By means of the two-scale convergence\nmethod, we investigate all three cases.\n
