Isolas: compact solution components separated away from a given equilibrium curve

概要

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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.