S-Shaped Connected Component of Positive Solutions for a Minkowski-Curvature Dirichlet Problem with Indefinite Weight

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...

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Bibliographic Details
Published in:Bulletin of the Iranian Mathematical Society 2022-02, Vol.48 (1), p.213-225
Main Authors: He, Zhiqian, Miao, Liangying
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Original Paper
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Summary: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 λ . In particular, we obtain the existence of at least three positive solutions for λ being in a certain interval.
ISSN:1017-060X
1735-8515
DOI:10.1007/s41980-020-00512-4