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On the Number of Positive Solutions for a Higher Order Elliptic System

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Abstract

Some new criteria on existence of positive solution for a higher order elliptic problem with an eigenvalue parameter are established under some sublinear conditions, which involve the principle eigenvalues of the corresponding linear problems. New results on nonexistence and multiplicity of positive solutions are also derived.

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Acknowledgements

This work is sponsored by National Natural Science Foundation of China under Grant 12371112 and Beijing Natural Science Foundation, China under Grant 1212003. The authors want to express their gratitude to the reviewers for careful reading and valuable suggestions, which improve the value of the article.

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  1. School of Applied Science, Beijing Information Science and Technology University, Beijing, 100192, People’s Republic of China

    Yichen Lu & Meiqiang Feng

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  1. Yichen Lu
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Lu and Feng wrote the main manuscript text. All authors reviewed the manuscript.

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Lu, Y., Feng, M. On the Number of Positive Solutions for a Higher Order Elliptic System. Qual. Theory Dyn. Syst. 23, 150 (2024). https://doi.org/10.1007/s12346-024-01011-1

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