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Positive Solutions for Biharmonic Equations: Existence, Uniqueness and Multiplicity

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Abstract

The primary objective of this article is to consider a class of biharmonic equations with Navier boundary conditions. Among others, a new criterion for the existence of positive solution is established. In addition, some new uniqueness and multiplicity results of positive radial solution are also considered.

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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 author wants to express his gratitude to the reviewers for careful reading and valuable suggestions which led to an improvement of the original manuscript.

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

    Meiqiang Feng

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  1. Meiqiang Feng
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Feng wrote the main manuscript text. Feng reviewed the manuscript.

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Correspondence to Meiqiang Feng.

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Feng, M. Positive Solutions for Biharmonic Equations: Existence, Uniqueness and Multiplicity. Mediterr. J. Math. 20, 309 (2023). https://doi.org/10.1007/s00009-023-02513-z

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