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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Communicated by Majid Gazor.
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Z. He: Supported by the NSFC (No. 11861056).
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He, Z., Miao, L. S-Shaped Connected Component of Positive Solutions for a Minkowski-Curvature Dirichlet Problem with Indefinite Weight. Bull. Iran. Math. Soc. 48, 213–225 (2022). https://doi.org/10.1007/s41980-020-00512-4
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DOI: https://doi.org/10.1007/s41980-020-00512-4