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Positive Solutions for Nonlocal Extended Fisher–Kolmogorov and Swift–Hohenberg Equations

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Abstract

In this paper, we study the existence of positive solutions for a class of nonlocal fourth-order semilinear differential equations which can be seen as generalization of extended Fisher–Kolmogorov and Swift–Hohenberg equations. The main result is proved using bifurcation theory.

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Acknowledgements

The authors are very grateful to the anonymous referees for their valuable suggestions. This work was supported by the NSFC (nos. 11961043, 11801453).

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  1. Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, People’s Republic of China

    Jinxiang Wang & Wen Guan

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  1. Jinxiang Wang
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  2. Wen Guan
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J. Wang: Supported by the NSFC (Nos. 11961043, 11801453).

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Wang, J., Guan, W. Positive Solutions for Nonlocal Extended Fisher–Kolmogorov and Swift–Hohenberg Equations. Mediterr. J. Math. 18, 60 (2021). https://doi.org/10.1007/s00009-021-01709-5

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  • DOI: https://doi.org/10.1007/s00009-021-01709-5

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