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Positive solutions of biharmonic elliptic problems with a parameter

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Abstract

In this article, we analyze the existence, multiplicity and nonexistence of positive solutions for a class of biharmonic equations with Navier boundary conditions and a parameter. In addition, some new criteria for the existence, multiplicity and nonexistence of positive radial solutions for a singular biharmonic equation are also investigated. Our approaches use fixed point theorems on cones.

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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 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

    Haiping Chen & Meiqiang Feng

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  1. Haiping Chen
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Feng and Chen wrote the main manuscript text. All authors reviewed the manuscript.

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Correspondence to Meiqiang Feng.

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Chen, H., Feng, M. Positive solutions of biharmonic elliptic problems with a parameter. Anal.Math.Phys. 14, 1 (2024). https://doi.org/10.1007/s13324-023-00860-4

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