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Positive solutions for a fourth-order p-Laplacian boundary value problem

  • John R. Graef ORCID logo EMAIL logo and Bo Yang
Published/Copyright: June 1, 2023
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Abstract

The authors consider a fourth-order boundary value problem with a p-Laplacian appearing in both the equation and the boundary conditions. Upper and lower estimates for positive solutions to the problem are proved. Sufficient conditions for the existence and nonexistence of positive solutions to the problem are obtained and illustrated with an example.

MSC 2020: 34B15; 34B18

Acknowledgements

The authors are grateful to the referee for carefully reading the manuscript and making several valuable suggestions.

References

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Received: 2022-10-31
Revised: 2023-01-27
Accepted: 2023-02-03
Published Online: 2023-06-01
Published in Print: 2023-10-01

© 2023 Walter de Gruyter GmbH, Berlin/Boston

Downloaded on 25.10.2025 from https://www.degruyterbrill.com/document/doi/10.1515/gmj-2023-2034/pdf
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