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Some results on positive solutions of a Kirchhoff type problem with indefinite conditions

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Abstract

In this paper, we investigate the existence, multiplicity and asymptotic property of positive solutions for a Kirchhoff type problem with indefinite conditions. The existence, multiplicity of positive solutions are obtained by using variational method and the critical point theory, and then combing with some analytical techniques, we have the asymptotic property of positive solutions when \(\lambda\) approach 0.

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Acknowledgements

This paper is supported by NSFC, PR China 11871250. The authors warmly thank anonymous referees for their useful and nice comments on the paper.

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Correspondence to Qiangqiang Yang.

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This article is part of the section “Theory of PDEs” edited by Eduardo Teixeira.

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Hu, J., Yang, Q. Some results on positive solutions of a Kirchhoff type problem with indefinite conditions. Partial Differ. Equ. Appl. 2, 20 (2021). https://doi.org/10.1007/s42985-021-00077-9

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