On the asymptotic integration of a system of nonlinear equations of plate theory

Everted equilibria of a spherical cap : a singular perturbation method

“…(1-3) e= and multiply both équations of (1.1) by k' 1 ; we can now think of (1.1)-(1.2) as a singular perturbation problem (in [2] a similar idea is applied to the theory of nonlinear plates). We refer to [3] and [4] for a systematic survey of the singular perturbation theory together with many applications and to [5] for an interesting abstract approach to the theory.…”