In this paper some continuation techniques based on the implicit function
theorem are combined with the topological degree to show the existence of solution
isolas, with respect to a given state, for a class of weighted boundary value problems of
superlinear indefinite elliptic type. No result of this nature seems to be available in the
literature. Further, pseudo-spectral methods coupled with path following solvers are
used to compute these isolas in some simple one-dimensional prototype models.