  This paper is devoted to providing quantitative bounds on the location of
eigenvalues, both discrete and embedded, of non self-adjoint Lam\'e operators
of elasticity $-\Delta^\ast + V$ in terms of suitable norms of the potential
$V$. In particular, this allows to get sufficient conditions on the size of the
potential such that the point spectrum of the perturbed operator remains empty.
In three dimensions we show full spectral stability under suitable
form-subordinated perturbations: we prove that the spectrum is purely
continuous and coincides with the non negative semi-axis as in the free case.
