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Variational techniques for a system of Sturm–Liouville equations

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Abstract

In this article, we study a system of sixth order Sturm–Liouville equations with positive parameter \(\lambda \). By exploiting the variational method and critical point theory, we show that if the control parameter \(\lambda \) is placed in an appropriate interval, our problem has one nontrivial weak solution. It should be noted that no symmetry assumption is used in the results.

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Acknowledgements

The author would like to expresses his sincere gratitude to the referee for reading this paper very carefully and specially for valuable comments concerning improvement of the manuscript.

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  1. Department of Mathematics, Faculty of Basic Sciences, Gonbad Kavous University, Gonbad Kavous, Iran

    Saeid Shokooh

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  1. Saeid Shokooh
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Correspondence to Saeid Shokooh.

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Shokooh, S. Variational techniques for a system of Sturm–Liouville equations. J Elliptic Parabol Equ 9, 595–610 (2023). https://doi.org/10.1007/s41808-023-00217-9

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  • DOI: https://doi.org/10.1007/s41808-023-00217-9

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