Abstract

In this paper, we investigate the existence of an S-shaped connected component in the set of positive solutions for a Minkowski-curvature Dirichlet problem with indefinite weight. By figuring the shape of unbounded continua of solutions, we show the existence and multiplicity of positive solutions with respect to the parameter $$\lambda $$ . In particular, we obtain the existence of at least three positive solutions for $$\lambda $$ being in a certain interval.

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