ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES OF BOUNDARY VALUE PROBLEMS FOR THE LAPLACE OPERATOR IN DOMAINS WITH SMALL HOLES
Vladimir Gilelevich Maz'ya, С. А. Назаров, Boris Alekseevich Plamenevskii · Mathematics of the USSR-Izvestiya · 1985
Complete asymptotic expansions are found for the first eigenvalues and eigenfunctions of classical problems for the Laplace operator in two- and three-dimensional domains with small holes. Bibliography: 17 titles.