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.
"Isolas: compact solution components separated away from a given equilibrium curve." Hiroshima Math. J. 34 (2) 177 - 199, July 2004. https://doi.org/10.32917/hmj/1150998161