We consider the eigenvalues of the Laplacian with Robin-type boundary conditions . Here we assume , in contrast to the usual case where . In recent years, increasing attention has been devoted to the behaviour of the smallest eigenvalue as the parameter under various assumptions on the underlying domain. After surveying existing results in this area, we will prove using a test function argument that every eigenvalue has the same asymptotic behaviour, , assuming only that is of class . This is joint work with Daniel Daners.