On differentiability of eigenvalues of second order elliptic operators on non-smooth domains (Q2345579)

The paper is devoted to the study of regular dependence of eigenvalues and eigenfunctions for a second-order uniformly elliptic linear operator with respect to the domain and coefficients of the operator. Smooth perturbations of a non-smooth domain and of coefficients are considered. The main result concerns the algebraically simple eigenvalues associated to a non-smooth domain.