Liouville type theorems for a class of semilinear biharmonic equations

Yan Ma; Yan Ma

doi:10.3934/math.2026308

AIMS Mathematics

2026, Volume 11, Issue 3: 7529-7542. doi: 10.3934/math.2026308

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Liouville type theorems for a class of semilinear biharmonic equations

Yan Ma ^,

School of Mathematics and Statistics, Ningbo University, Ningbo, 315211, Zhejiang, China

Received: 10 December 2025 Revised: 10 March 2026 Accepted: 18 March 2026 Published: 23 March 2026
MSC : 35B45, 35J60

In this paper, motivated by the techniques developed in X. N. Ma et al., arXiv Preprint, 2025, we proved Liouville type theorems for a class of semi-linear biharmonic equations. The proof was based on a differential identity constructed via the invariant tensor method. We combined this identity with an integral estimate to complete the proof.
- semilinear biharmonic equations,
- Liouville type theorems,
- invariant tensors
Citation: Yan Ma. Liouville type theorems for a class of semilinear biharmonic equations[J]. AIMS Mathematics, 2026, 11(3): 7529-7542. doi: 10.3934/math.2026308

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Abstract

In this paper, motivated by the techniques developed in X. N. Ma et al., arXiv Preprint, 2025, we proved Liouville type theorems for a class of semi-linear biharmonic equations. The proof was based on a differential identity constructed via the invariant tensor method. We combined this identity with an integral estimate to complete the proof.

References

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