Averaging of a semilinear elliptic spectral problem in a varying domain
Mamadou Sango · Applicable Analysis · 2001
We consider a semilinear spectral elliptic problem in a sequence of perforated domains. We establish the convergence of the eigenvalues and the eigenfunctions of the problem to the corresponding eigenvalues and eigenfunctions of a limit problem of the same type but containing an additional term of capacity type.