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

Jiaqing Hu () and Qiangqiang Yang ()
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Jiaqing Hu: Jiangsu Normal University
Qiangqiang Yang: Jiangsu Normal University

Partial Differential Equations and Applications, 2021, vol. 2, issue 2, 1-22

Abstract: 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 $$\lambda$$ λ approach 0.

Keywords: Kirchhoff equation; Positive solutions; Variational method; Asymptotic property; 35J25; 35J60; 35J20; 35B09 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s42985-021-00077-9

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