Abstract
In this paper, we study a class of Kirchhoff-type equation with asymptotically linear right-hand side and compute the critical groups at a point of mountain pass type under suitable Hilbert space. The existence results of three nontrivial solutions under the resonance and non-resonance conditions are established by using the minimax method and Morse theory.
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Acknowledgements
The authors would like to thank the referees for valuable comments and suggestions in improving this paper. This research was supported by the NSFC (Nos. 11661070 and 11571176).
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Pei, R., Ma, C. Multiple Solutions for a Kirchhoff-Type Equation. Mediterr. J. Math. 17, 78 (2020). https://doi.org/10.1007/s00009-020-01508-4
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DOI: https://doi.org/10.1007/s00009-020-01508-4