Abstract
In this paper we consider a class of Kirchhoff-type problem with 2-superlinear potentials. The existence of one positive solution and one negative solution will be established by using iterative technique and the Mountain Pass theorem, and a sign changing solution will be obtained by combining iterative technique and the Nehari method.
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Communicated by Syakila Ahmad.
This work was supported by Doctoral foundation of Liaocheng University, NSFC Grant (No. 11771177), China Automobile Industry Innovation and Development Joint Fund (No. U1664257), Program for Changbaishan Scholars of Jilin Province and Program for JLU Science and Technology Innovative Research Team (No. 2017TD-20).
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Liu, G., Shi, S. & Wei, Y. Multiplicity of Solutions for Kirchhoff-Type Problem with Two-Superlinear Potentials. Bull. Malays. Math. Sci. Soc. 42, 1657–1673 (2019). https://doi.org/10.1007/s40840-017-0571-z
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DOI: https://doi.org/10.1007/s40840-017-0571-z